{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 异常检测\n",
    "这部分，将实现一个异常检测算法来检测服务器计算机中的异常行为。数据集中的特征是测量每个服务器的响应速度(mb/s)和延迟(ms)。在服务器运行时，收集到了的无标签的m=307个样本。其中绝大多数样本是正常的，但还是有一小部分的样本是异常的。将使用高斯分布模型来检测数据集中的异常样本。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "from scipy.io import loadmat\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 加载数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "dict_keys(['__header__', '__version__', '__globals__', 'X', 'Xval', 'yval'])\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "((307, 2), (307, 2), (307, 1))"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mat = loadmat('date/ex8data1.mat')\n",
    "print(mat.keys())\n",
    "# dict_keys(['__header__', '__version__', '__globals__', 'X', 'Xval', 'yval'])\n",
    "X = mat['X']\n",
    "Xval, yval = mat['Xval'], mat['yval']\n",
    "X.shape, Xval.shape, yval.shape\n",
    "# ((307, 2), (307, 2), (307, 1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def plot_data():\n",
    "    plt.figure(figsize=(8,5))\n",
    "    plt.plot(X[:,0], X[:,1], 'bx')\n",
    "    # plt.scatter(Xval[:,0], Xval[:,1], c=yval.flatten(), marker='x', cmap='rainbow')\n",
    "    \n",
    "plot_data()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "这是一个非常紧密的聚类，几个值远离了聚类。 在这个简单的例子中，这些可以被认为是异常的。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 计算高斯分布\n",
    "要执行异常检测，首先需要将模型拟合数据的分布。\n",
    "给定训练集$x_{(1)},...,x_{(m)}$, 我们想要对每个特征$x_i$做高斯分布估计。对于每个特征，$i=1...n$，我们需要找到参数 $u_i,δ^2_i$来拟合数据。$$\\mu_j=\\frac{1}{m}\\sum\\limits_{i=1}^{m}x_j^{(i)},\\sigma_j^2=\\frac{1}{m}\\sum\\limits_{i=1}^m(x_j^{(i)}-\\mu_j)^2$$\n",
    "$$p(x)=\\prod\\limits_{j=1}^np(x_j;\\mu_j,\\sigma_j^2)=\\prod\\limits_{j=1}^1\\frac{1}{\\sqrt{2\\pi}\\sigma_j}exp(-\\frac{(x_j-\\mu_j)^2}{2\\sigma_j^2})$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [],
   "source": [
    "def gaussian(X, mu, sigma2):\n",
    "    '''\n",
    "    mu, sigma2参数已经决定了一个高斯分布模型\n",
    "    因为原始模型就是多元高斯模型在sigma2上是对角矩阵而已，所以如下：\n",
    "    If Sigma2 is a matrix, it is treated as the covariance matrix. \n",
    "    If Sigma2 is a vector, it is treated as the sigma^2 values of the variances\n",
    "    in each dimension (a diagonal covariance matrix)\n",
    "    output:\n",
    "        一个(m, )维向量，包含每个样本的概率值。\n",
    "    '''\n",
    "# 下面是不利用矩阵的解法，相当于把每行数据输入进去，不会出现内存错误。\n",
    "    m, n = X.shape\n",
    "    if np.ndim(sigma2) == 1:\n",
    "        sigma2 = np.diag(sigma2)\n",
    "\n",
    "    norm = 1./(np.power((2*np.pi), n/2)*np.sqrt(np.linalg.det(sigma2)))\n",
    "    exp = np.zeros((m,1))\n",
    "    for row in range(m):\n",
    "        xrow = X[row]\n",
    "        exp[row] = np.exp(-0.5*((xrow-mu).T).dot(np.linalg.inv(sigma2)).dot(xrow-mu))\n",
    "    return norm*exp"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 根据数据估计出模型的参数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [],
   "source": [
    "def getGaussianParams(X, useMultivariate):\n",
    "    \"\"\"\n",
    "    The input X is the dataset with each n-dimensional data point in one row\n",
    "    The output is an n-dimensional vector mu, the mean of the data set \n",
    "    the variances sigma^2, an n x 1 vector 或者是(n,n)矩阵，if你使用了多元高斯函数\n",
    "    作业这里求样本方差除的是 m 而不是 m - 1，实际上效果差不了多少。\n",
    "    \"\"\"\n",
    "    mu = X.mean(axis=0)\n",
    "    if useMultivariate:    \n",
    "        sigma2 = ((X-mu).T @ (X-mu)) / len(X)\n",
    "    else:\n",
    "        sigma2 = X.var(axis=0, ddof=0)  # 样本方差\n",
    "    \n",
    "    return mu, sigma2\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 根据估计出的参数，画出高斯分布的等高线"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plotContours(mu, sigma2):\n",
    "    \"\"\"\n",
    "    画出高斯概率分布的图，在三维中是一个上凸的曲面。投影到平面上则是一圈圈的等高线。\n",
    "    \"\"\"\n",
    "    delta = .3  # 注意delta不能太小！！！否则会生成太多的数据，导致矩阵相乘会出现内存错误。\n",
    "    x = np.arange(0,30,delta)\n",
    "    y = np.arange(0,30,delta)\n",
    "    \n",
    "    # 这部分要转化为X形式的坐标矩阵，也就是一列是横坐标，一列是纵坐标，\n",
    "    # 然后才能传入gaussian中求解得到每个点的概率值\n",
    "    xx, yy = np.meshgrid(x, y)\n",
    "    points = np.c_[xx.ravel(), yy.ravel()]  # 按列合并，一列横坐标，一列纵坐标\n",
    "    z = gaussian(points, mu, sigma2)\n",
    "    z = z.reshape(xx.shape)  # 这步骤不能忘\n",
    "    \n",
    "    cont_levels = [10**h for h in range(-20,0,3)]\n",
    "    plt.contour(xx, yy, z, cont_levels)  # 这个levels是作业里面给的参考,或者通过求解的概率推出来。\n",
    "\n",
    "    plt.title('Gaussian Contours',fontsize=16)\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
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CwlSAQ2BpaYGVjRXWttamwwo7B1vsnexxcNKCyezr2d1WswFlJWWc3HWOfSsPc3D1UQrzin533j/El1Y9Q2jVq3lF1LpCUZ0oAVbUSspK9exfGc6Gb7dx7kAUoKWxtOrVnDZ9WtCopR+e/h54+bvj4ulcJ4WjpKiU1Nh0LYXHdGSn5pKXkV9RqCM/S4fRWD2/QyEETm71cPE0pQd5OuPh60aDxl54B3rh09gLnyCvOjnAkVJSmFdERkIm6QlZxJ6J4/yhi5w/dBFddgEAIV2aMGrWEPrd3RN7R7satljxb0AJsKJWkJOWy7mDF4kKjyY+KonI8GjyMnX4NvFmyLQBdAxtS7OOjbGyrl3ZcVJKcjPyyUnNJS8zvyLCOj9LR4kp7aaoQMsZLjUVuNCX6MlJyyMtLuN3bdk52uLp525Kd3Khvqczzu5OOLo4YO9kj6OzPfZO9tg62GJjq3mzNnbWWNlYaYU5LLSiHMJCy5/VPGLNMzaUa4U2ykrLTd6zntKiMop0xRTriinSlVCYV0h+po68LJ32PjLySU/IpCi/+Hd2uvu64tHQDRs7G6ztrDVP+lp+bz07HJzscXKvh7O7kxat7O6Eu68rrt71a11ur9FoJOFiMie2nWbT/B3EXUjE0cWBlj1DCGzpR0jXZjTv2hSvAI9aZ7ui7qMEWFEjGI1Gjm46yb6Vhzl/MIrkK2mANp3sH+JLYGt/hkztT4dBbWqFdyulJD0+k3MHorgUEUNqrFZ0IiUm7X8KcVzD2tZam96tZ4edSaBs7KyxtbfBya0eAc39Kko4+gR54eLhXOtu8lJKdDkFpF3NIDU2neQracRFJpCbno++RBtQlBaV/ZbjW1BCSdHNPw8bO2u8A71o0NgL3yBvQro0pUWPYBo2bVAr3reUknMHotjy4y6unLpKfGQS+lI9oAV1tegeTOi9/eh5Z2cVV6AwC0qAFdVKcUExWxfsYfXnm0i+nIqLhxOtezenVc/mtOoVQtOOQbUiYtVoNJJ2NYPjW09xZt8Fzh+8WBFZbWtvg0+QNw2CvPBp7E2Dxl54NHSrqOjk4uGEk1u9WuetVxeGcgO6nALyMnXosnTkZerITMomNTad1KvppMamk3QppaKEpYuHEy26B9O2b0u6DO+Af4hvrcjt1ZfpiTkTz8Wjl4k6eolTu86RkZhFg0BPxswewbDpA+rkdLyi9qAEWFGlFBeWcHZfJCe2nebkrrPEXUjEaDDSvFszxj8xkt7jutWIUOnL9Fw+eZXE6GTSrmaQFqcdmYlZ5GXqKMgpqFh79Wjopg0STME6jdsEKA+okhgMBuIjk4g8HM2Fw9FcCI8mISqp4ryjiwMuHk7aOn/AtcOTgBYNCe4UhI2dTfXbXG7g0Lrj/PrpBs4diMLCQtColT/t+rWibf9WtO3bAhcP52q3S1F3UQKsMDv6Mj07f97PziX7OX8gCn1ZOTZ21rTu04LmXZrSbWRHWvYIqXabLhyO5szeC5zdH0nk4ejfTZW6+bji3cgDT38PLU/YvR7uvm50GNiahs18asUU6e1ORmIWJ7afISM+k/wsHbkZeaQnZJERn0lWcnbFgMjaxopmnZvQumcIrfu0oGNom2qvVHbx+BXC1x8n8sglzh+IqvguBbVtxPAHBzFs+kDsHFT1NMWfowRYYRaklKTEpHFo7TFWfbKBzKRsAlo0pNuIjnQa0o7WvZtX602ySFdM2tV0Uq9mcGTDCfatCkeXXYAQgqB2jWjbtyVt+rSgcZsAvAI8asSjUvx9yvXlZCZlc+XUVc4fjOL8oYtEH79Cud6AfT07eo7pQq87u1asqTs6O1SrbdHHr3B6zwUOrz9GZPglXDycGPvYSPqEdccv2KdWxDEoah9KgBWVIj0hk03zdrB1wW4yk7IBaD+gFXc/O5ZOg9tWi+eYm5HHyZ3niDkTx9Vz8cSejf9dhLGdgy09x3Sh3109aduvpSo3eZtQVlLGuQNR7P7lIAd+PfK7DR08/dwJaOlHYEs/Ats0ovuojtT3dKkWu84diOSX99ZwZGMEoC1hhE7py+Cp/Qlo3rBabFDUDSolwEIIf2Ah0AAwAvOklJ8JIV4FZgDX7oLPSyk3/VlbSoDrDkajkYgdZ1n/9VbC1x9HSugyvD3dR3WmTZ8WBLbyr3IbDAYDETvOsvn7nRxee4xyvQFLK0v8Q3xp3DaAxq0b4dvEG/eGbjRpH6jyOm9zykr1XDl1lYyETJIvpxIXmUjc+QTiI5MoLS7D0sqSriM6MPi+/nQf1RFrm6oP9Eu6nMKZvRc4uOYox7acwmgw0qJ7M4ZMHcCgKX3Ud1JRaQH2AXyklBFCCCfgBDAGmAAUSCk//LuGKAGu3UgpSbqcyvGtp9j47Xaunk+gvqczw6YPZMTMUHwae1dp/0W6YhKikoi7kEjs2Xj2rTxMenwmzu5OhE7py8B7+tC4TUCtiKCuDgwGAwa9gXK9AUO5ASllRSUsrv1uhdAqYQlTNSwrS6ysLbG0tsTCwuJfsa5tNBq5ei6BnT/vY8fi/WSn5ODkVo++YT1o2qEx/s19CWjhR33Pqk0By0rJYdfi/Wz7aU/Fb2fUQ0PoOqIjwZ2DVFDfvxSzTkELIdYCXwK9UAJ8W5ASk8bKj9dzdFMEqVe1CY3AVv5MeOZO+k3oWWWCJ6Uk+kQMm+Zt59jWU2QkZFWcs7K2pG3/Vox4YBA97uxS50RXSkl+lo60uAxy0/PJScslN12rflWQU0Chrpii/GKK8oso1v1WwKPM9FheVk5ll4eEEFjZWGFrb4ONnVbQw/ZaaUpnexxMj06u9ajv6VxRHMTV2wXvQK8qF6yqwFBuIGLHGbb9tIfw9Sd+F4Tn7O5Ezzu7MGRqf1r1CqmyNVspJecPRrH4rVWc2HYGKSVOro70uLMLk58fR8OmPlXSr6J2YjYBFkIEAvuA1sCTwDQgHzgOPCWlzPmz1ysBrl2kJ2Sy5M1VbPlxNxaWFnQZ1p7OQ9rRaUg7fJs0qLJ+C/MK2bXkABvn7+DKqavYOdjS/Y5ONG7TiEYt/Qhooe1qVBdybK8V74g+foXoEzEkXUquKN5xY3UpoKJAh4OzPY4uDjg4O2Bfzw5bBxts7WywsdPE0trWGktrS6ysrTSP1soSYar5LISoEEYpZYVnXFENy+Qxl+vLK2pJ60v0lJXqKSkq1api5WtHYX4RuuyCmxYasXOwpUFjLxoEeRHQ3I/gTkE06xSET5B3nRBmo9FIZmIWcZHaVpXRJ65wcPVRSgpLadDYi9ApfRkyrX+VzuzkZeZzcudZjm09xd5lh9CXlTNkan+mvBSGdyPPKutXUXswiwALIeoBe4G3pJS/CiG8gUxAAm+gTVNPv8nrZgIzAQICAjrFxcXd2rtQmI2Tu7R11QOrjiClZMSMUCY9Pw4PX7cq6S8rJYfo41e4dCKGSxExnNp9jpLCUpq0D2TkjFAGTu5d64odlBaXkpmUTWZiNplJ2WQkZqHL0qHLKaQgr5CCnEIKcgtJj8sgL1MHgKWVJb5NvPFp4o1vUAN8grzxDvTEtUF9XL1dqO/lUmvXBEuKSivqU2en5pJ2NYOUmDRSr2p1rBOikijXGwCoV98RnybeOLo4UK++I/VcHLScXk8XPBq64e7rintDNzz93HFwsq/hd/Z7igtLOLj6KNsX7eXkjrMAtO7TnOBOTQjuFERwl6b4NasaDzU7NYel76xm47fbkVLSe1w3Rs0aQtt+LevEgEZxa1RagIUQ1sAGYKuU8uObnA8ENkgpW/9ZO8oDrlnOH7rIgpeWcmr3eZzdneh3Vw/ufnZMlYzEDQYDh9YeZ8WHa4kMvwRoU6L+zX1p3as5I2aEEty5Sa248WSl5HDx2GWunLrKldNXuXIytmIq/nps7W1wrO9Ivfqa8DjWd8S9QX2adWpCcOcggto2um1TnfRleq6eS6gYSGUkZVGYV0RhbhEFudpg5GZetFeAB0FtG9G4TQBBbRvRskcwXgG1w/PLSMxi47fbObH9NFdOx1WUpGzZM4QJT4+mx+jOVTJNnZGYxbL31rBn2UHyMnU079qUCc+ModeYLiqV6TakskFYAvgJyJZSPnHd8z5SyhTT/88BukkpJ/5ZW0qAa4ZLETH8+NIvHNt8kvpeLkx+fhwjZ4ZWiViUFpeyfeE+Vn68nqRLKfgEeTNq1mBa9gjWIpXr1bxHdK38YPj644RvOMHlk7GANkDwC/ahSftAAltpucMefm54NNSO2mB7baa4sITslBwyk7LJSs4hPS6D2HPxxJyJIyEqGUO55kE3bhNAt5Gd6HFHp1pTlrRcX058ZBInd55lzRebSL2agV+wD2FP3kHovX2rJL+9tLiUbT/tZeVH60i+koZfsA93PzuWwff2rRVlOhXmobIC3BvYD5xFS0MCeB6YBLRHm4K+Csy6Jsh/hBLg3/P++9ClCwwY8Ntzu3fDsWPwzDOVa7u4oJh9K8PZ8sMuzh2IwsnVkQnPjOHO/wwz6zSolJKr5xM4se00J7af5uy+SEqLywju3IQJ/72T3uO61kj057WI7nMHokiKTiY1LoO0q+mkxWWSnaKFKlhYCFr0CKb7qM607asV7FAiWzWUleqJj0zk5M5zHNl4grP7IzEatNuJq7eLVoaykSde/h4EtPCjVa8QApo3rJEZEkO5gX0rw1nx4VouRcRia29Dy54htOvXinb9WxLStalZU5wMBgMHVh1h2ftruBQRi6efO0Om9mfItP5VGouhqB5UIY5ayu7dMGECLF+uifCNf98KMWfiWP35JvYuP0RxQQl+wT4Mmz6IUbNCzbrOmpOex8qP1rPj530VghbQoiEdQ9vSe1w32vat/nWtjMQswjec4My+C5zZe6HCLksrS7wCPPAO9KRBI0+8AjzxbdqAzkPbqbq+NURBbiEntp0mPiqJjIQs0hMySY/LID0+k9LiMgCc3OrRqmcIrXu3oG9Yd3yCqjYN7kaklJzec55Da49xeu95Yk5r8St2DrYMmz6QCc/ciaefu1n7O7zuOBu+3caJbacxGiVt+7Vk8vPj6DS4ndn6UVQvSoBrMddE9+GH4euvb1180+MzWPTaCrYu2IOtgw39J/Rk6PSBtOoZYjYhlFKScDGZTfN3sOGbbehL9fQY3ZnuozrTcXBbvPw9zNLP36W4oJikS6lcPhnLrqUHOLXrHFJK3H1daduvJW36tKRt3xb4hfiqHMw6gpSSxOhkzh+8yPmDUZw7GEVitDax1qpXCIMm9yG4cxP8mzes9gCv/CwdZ/Zd4NC6Y+xafAALC8GQaQMY/chQGrcJMOuAMyMxi+0L97Jx3nbS4zPpMrwDD7w9mSbtAs3Wh6J6UAJcy3n5ZXjjDXjpJXj99X/22gvh0fz66Qb2rzqChYVgzOwRTH5hHE6u9cxmn6HcwPaFe1n2/hoSo1OwsLRg0D19mPTcWPxDqqfsnpSS+KgkIsMvEXn4IpFHLnH1XEJFrqxPkDehU/oyYFIv/IJ9a0Vwl8I8pMdnsGvJAXb8vI+4C4nAbwF9IV2aEty5CS26NaNZp6BqC2JKvZrOL++uYeuPuyjXG2jYzIe7nrqDwff1M2tsRVmpnrVfbmHxmyspzCui/cDW3PXUaLoMa6++43UEJcC1mFv1gFNi0pj3zCIO/HoERxcHRjw4iDv/M9ysEc0Gg4FdSw7w8xsrSb6cSrNOQQyfPpBuozpVm7ebn61jx8J9bPh2GwkXkwEtDaZ5t6a06BZM4zYB+IX4EtjKX92QbnOuecfxkUnEnIkj+vgVLh67TE5aHgANm/kwckYoQ6b1r7alhezUHI5sjGDjvO1cPHYFV28Xxj0+klEPDTFrPXJdTgGb5u9k7ZebyUjMouPgtjz88bRqKQmrqBxKgGspt7IGnJeZz/IP1rH6s41YWlsy8dmxjHtihFmDh/KzdexfGc6qTzeSEJVEULtGTH3tbnrc0bnKRe7aTfbsvkjO7L/A/pXhlJXoadG9GUOnDaBN35Zq5xlFBVJKMpOyObXrHJu+28G5A1FY21jRa1w32vVrRevezQlo0bDKvy/X1ouXvb+G41tP4+Bkz6iHhjBkaj8atTSfSJbry1n/9TYWvrqcIl0xI2eEMvmFcXg0NN9atMK8KMDn14EAACAASURBVAGupfyTKOjS4lKWv7+OFR+to6SwlNB7+zL97clmK55RWlxK+IYIdi3Zz9FNEZTrDTRuE8C9L99Fr7Fdq/QGlp2aw8HVR38LnkrNBcDJ1ZF+E3oyctZgmrZvXGX9VzdSSnQ5BabCF/nkZeZrlalMFaqKdcWUFJWiLy1HX6anrERPeVk5RoMRo9Go1YM2GH+rA20hsLCwwMLSAisbK6xtrbCx0app2TrYaKUnneyxd7LH0dkeZw+nitKTTm71bqv18avnE9j47XZ2LT1AfpZWIMXJ1ZEWPYJp07sFg6b0NWvg1M24fCqWpe+s5sCqcIxGSZP2gQya3IcBk3ub7fean6Xjp1eWsXHeDiwsLRj/xEgmvzBORfHXQpQA12GklBxcc5RvnvyJtLgM+oR1575XJpht6qm0uJQ1X2xh2Xur0eUU4ubjyoC7ezLwnj406xhUpR5vzJk4Vn26gd1LDqAvK8ejoRtt+7WkXb9WtO3XkobNfOrstLK+TE98ZBJx5xNIiUknOSZVqywVk052am5FTuzNsLSyxM7RFmtba01M7WywtrHCwtJCE1tLCywstM/FaLy2QYMRY7kRfVk5+lK96SintKgUfVn5H/YlhMDNp75WcjLQdAR507hNAIGt/Kp1f2dzIqUk+Uoq5w9e5NyBKM4fiiI+MglLK0v6TejB+DmjCO7UpEptyE7NYc+yQ+xeeoCoo5extrVm7Ozh3P1/Y3B2czJLHymxaSx6bQXbF+7Fo6EbMz+4j/5396yzv5vbESXAdZTYc/F889RPRGw/Q2Brf/7z+QO069/KLG3npOWy5YfdrJu7hcykbLoM70DYnFG0G9CqSj2i2HPx7F12iIidZ4gMv4Sdgy1DpvVn9CNDCWjhV6tvHFJKCnILSYvLIO1qBplJ2eRn6sjP0pGfrT0W5hVRkFtEypXUitKNAO6+rvgEedOgsRceDd1x9XKhvpe2+YGzuxOOLg7YO9nh4Oxg9sIU+jI9xboSinTFFOYVkZepIy8jX/PAM/LISMwiNTad1Nh0MhOztN2W0PKkGwR54+xWD8f6jji51cPZrR5ObvVw8XDG099dy98N8MDFo/Zv3JASm8baLzaz+ftdFOmKadYpiM5D2tE3rAdN2gdWqf2J0ckseedXdizcVxGzMWJmqNk2Zrhw+CJfzv6eSxGxtOnbgoc/nkazjkFmaVtROZQA1zEK84tY+Mpy1ny5GUdne+59ZQKjHxlqluo4WSk5/PTyMrYv3EO53kD7ga2Z8mKY2YT9ZqTHZ7Br6UF2LdlP7Nl4LCwtCOnShJ6juzBiZqjZvAFzUq4vryi9ePHYZS5FxJB0OfWmGyw4ujjg7O6Es7smVI4uDjRs0oCgdoE0bhOAT5BXnfEky/XlpMamE3s2niunr5IYnVwxqMjP0qHLLqAgp/B/dmqysbPGL9iXZh2DaNqxMcGdgghqF4idQ+1734X5RWz5fhf7fw0nMvwSRoMRnyBv+ozvTt+w7lVaIjX2bByLXl/BwTXHMBqMDJrSh+lvTTZLUKPBYGDL97v48cWl5GcVcMfDQ7j/zUlmDQZT/HOUANcRpJTsXX6Ir5/8iZzUXEbMCGX6W5Nwdq+8QJUUlbLyo/Use38N5WXljJw5mDv/M6zK0oiklESGR7Pk7V85sjECgJY9ghkwqTf9JvTE1culSvq9VQwGAykx6RzbfJLwjSc4tz+SshKtNrCTqyPNOgUR0NwPr0aeeDfywLuRJ57+7ji7O9WJXZvMicFgQJddQGZiNunxmdqMQFwG8ZGJXDoRQ25GPqBNpbfqFUK3ER3pOqIj/iG+ta7EYl5mPofWHmP/qnAidpzFUG6gRfdmTH5+PF1HdKiy2IfM5GzWfL6JXz/bhBAwfs4oJv7fWLPkNhfmFbLg5WWs+2oLzh7OzPzgXkKn9K31MxS3K0qA6wDp8Rl8+vB8jm0+SbNOQTw+dwYhXZpWut2SolLWfL6JVZ9uJDc9jz7ju/Hgu1OqpMTdtX1QD/x6hMMbTpB8ORVndyfufHQYg+/rV+2VjG5GcWEJF49eJiEqiYSLySRcTCLxYjIZidkV67L+zRvSeUg7WnQPJqRLkzqz/V5t4FpU8qWIGCIPR3N080lizmgVpCwsBB5+7vgF+9CwmS9+zXzwb+5Lq17Na8WuSbqcAnYvPcjyD9aSFpeBm48r3UZ0pP/EXnQY2LpKvgPp8Rn88MJSdi7ej5NbPcY9PpKwp+4wy8zB5ZOxfPbIfKKOXKL9wNY88c1MtRdxDaAEuBZjKDew5ovNLHj5FwCmvzWZ0Y8OrfQ67DVvet4zi8hIyKLLsPZMfmE8rXs1N4fZ/9PXqd3nWPjq8oo0kPYDW9NjdBdCp/Sp8cjMlJg0jmyMIHzjCc7sOV8RlGTnaIt/iC9+Ib74NPbGu5En7Qe2VvV3zUxGYhYRO85UbG+YFJ1CwkVtaht+85Q7D2lP56HtaNI+sEbTzMr15exbGc7BNUc5vuUURbpiWvUK4b5XJtBhUJsqEeKLxy6z+K1VHF53HE9/d2a+fy/9JlQ+mMpoNLJp/k7mP7uI8rJy7nkxjLuevsOstawVf44S4FrKpYgYPpn5DZciYuk6ogOzv3yQBoFelW738slY5s75kbP7ImnSPpBHPr2ftn1bmsHi32MwGDi58xxL3l7F2X2RuPu6Mum5cQyZ2q9GRbcwr5Cr5xM5vec8u5bsr6ie5B/iS9fhHeg0pB2BrQPwaOimPNsaQkpJXmY+MWfiidh+muPbTnPl1FUAPP3dGTS5j+nfyZ/6njW3XFFWqmfrD7tY8vavZCZl06ZPCyY9P45Og9tWySDh7P5I5j7xI5dPxtK6d3Me/mSaWaK1M5OzmfvEj+xfGU5gK3/mzJtFyx4hZrBY8VcoAa5lGI1G1ny+mfnPLsLZw5lHP7ufPuO7V1oMctJymf/sz2xfuBcXDyfuf3MSwx4YaPao5nJ9OTt+3s+y91aTGJ2CW4P6THpuHCNmDKqR/XALcgs5tuUURzZqGzFkJGRVnGvduzl9xnen28iOavqtlpOdmsPxrafZu+IQx7ee/t1uSe0GtKbLUM1DdmvgWu22lZWUsem7nfzy7mqyknNo2MyHMbOHM3Raf7MPNg0GA1t/3MOPLywhNyOfwVP7MePdKbh616902+EbTvDFf74jMzGLKS/fxaTnxv7rYhiqGyXAtYjE6GQ+nvkNZ/dF0vPOLjz1/cOVjgI2lBtYN3crC17+hbLiMsbPGcWk58aadfcj0HKGt/ywm+UfrCU9PpOmHRpz19Oj6TWmS7VH+eZn69j5834OrjlasbWdi4cTHULb0qRtIwJbB9CkfWCVF11QVA15mflcPhnL1XMJXDoZQ8T2MxUlJ5u0D6TXmK4Mf3CQ2Qpb/F3KSso4sPooqz/bSNTRyxUpRWNmD8crwHxlYEGbyVn6zmpWfbIBWwdbpr0+kTseHlLpQLYiXTGfPzKfnYv3E9SuEU/Of5iQzlWbE/1vRglwLUBKya+fbuT755dgY2fNQx9NZej9Ayrt9Z4/dJHPH5lPzJk4Og1px38+n45fsK+ZrNYozC9i64+7WfbeGrJTc2nVK4TJz4+v1oLwFbvkHIrm1O6zFSUqA1v7031UZ7qP6kTzbk1vq6pOit8wGo3EnInj+JZTHN18krP7I7GwtKDH6M50GtyOVj1DzL4j0V9x4fBFfv1sI/tXHcHS0oKRswYz7omR+DQ2b7BhwsUkvnzsByK2nyGoXSMe+2oGrXpWfvr40NpjfP7ofHJSc5nw3zuZ9sbEWhelfjugBLiG0Zfp+fSheWxbsIeed3bhsbkzcPep3DRafraO755dzObvd+Lp787Dn9xP77FdzXoDSr6SypovNrP1x90U6Ypp07cFU1+9m7b9qm+v36yUHLYv3Mu2Bbt/txlDvwk9uePhIWp7tn8pyVdS2fjtdrYv2lvhGfs2bcCgyX0YeE8f/JpV33JDWlwGP7++gm0L94KU9BjdmbGPjTTr70RKyYFfj/D1kwvISMhixIODeODdeyo9e1aQW8i8/y5i8/c76TK8A88vflzlDZsZJcA1SFxkIh/e/xVRRy9z78t3ce8rd1XqRymlZMfP+5j39ELyswsY/8RI7n3lLrOuQ6XHZ/D980vYvfQgFpYW9JvQg7GPjaB512Zm6+PPMBgMhK8/wZYfdnF080mMBiOtezdn4OQ+tO3bAv/mVV9cX1E3kFKSGpvOyV3n2P3LAU7vPo+UkuZdmzJk2gCGTO1XbcsjGYlZrJu7lU3zd5CfpaP9wNbM+vA+s9YxLy4oZuGrK/j1s404u9Vj1kdTGXRPn0oL/cZ52/niP9/j1qA+T3w7i67DO5jJYoUS4Bpi+6K9fDLzW+zr2fH41zPoG9ajUu1lJmXxwfS5RGw/Q/NuzXjim5lm9QBz0vNY8cFa1n61BYAxs0cw9vER1bLOVlaq59z+SI5uiuDg2mOkxqbj5uPKkPv6MfT+AWafVq+tlJXqKdYVU1pUSllpOfqSMu2xVI/RYPyt7rPBiBC/bcQgLASWVpbaZgymDRmsba2xc7TFwckea1vrf0XEd2ZSFruXHmTH4n3EnI7DxcOJHnd0psvwDnQa3NbscRE3o7S4lM3f7WLR6yvQZRcw8J7eTHkxzKzf4cunYvnsYS3Ht+Pgtjw1/6FKr0FfPHaZD+7/irgLiYx7fCSzPrpPDXTNgBLgGmDT/B18+tA82g1oxfOLH69UBKPRaGTzdzuZ98wijOVGZrx/L6MeGmy2H0dhXiFL3l7Nuq+2UFZSxsB7+nD/GxPNHlRyM1Ji0lj23hp2LT1AcUEJ1rbWtOvfkmHTB9F7bNfbYk2qrKSMlNh0UmPSSIlJJys5m9z0PHIz8slNzyMvU0dRfhFF+cV/unFCZbC0ssTB+dpuSNpOSPW9nKnv4YxHQ3caBHnh09iLBo29ajxv2xxIKTm7P5L1X2/l2JZTFOYVYWVtSeiUvtz9f2OrZYpal1PA0rd/Zd3crehL9Qy+rz/T355ktihug8HAxm93MP+ZRQgLwfS3JzP6kaGVui+UleqZ/99FrPlyM8OmD+SJb2equIpKogS4mlnz5Wa+euwHuo7owCsrn65Uak5idDKfzPqWM3sv0H5AK574dpbZ0mmMRiPbftrL988tJi8jn4GTe3PPi+OrrDzl9cRHJfHLu6vZuXg/lpYWDLqnD73GdqP9wNa1sn7w36GsVE92Sg4xp+OIPnGF6BMxxJ6JIzMp+3fXWVpZVmzE4OrtgouHMw5O9jg421dsHXhtNyQbO2ts7GywMu2GZPEHuyEZDEYM5QbKK3ZD0h5Likq1jRjyi7TNGPKLyM/U/Sb+GfkVJTev4ertQpP2gTTtEESzjo1p0j4Qj4Zudaae9Y0Yyg1cOBzNnmUH2fLDLsrLyuk/sRcT/28sjVsHVHn/OWm5LHtvDWu/2oKNnQ1TXgpjzGPDzVYMIyU2jU8fmkfE9jO07BnCk/NmVWoPYiklP72yjMVvrqL/3T2ZM++hWlGprK6iBLiaKC4s4Zs5C9j03U56jenC80vnVGpnmz3LDvLh9LlY21oz68P7zBI1fY3II5eY+/gPRB29TMsewTz6+fQq357NaDRyaO0xVn68nvMHL2Jrb8OoWYMJe3p0taeT3Arl+nKSLqcSH5lE/IVEkq6kkJWcQ3ZyDlkpOeiyCyqutbAQBLT0o0n7QBo29cG3SQN8grzwCfKmvpdLrZkOllKSn6UjNTZdq1QVm05idAqXT2kpQNdvm+jo4oCbjyvuPvVx93WjYTMf/EN88W/eEL9gnzoh0NmpOaz6eAPrvt5KSWEpLXsEM/axEfQe163K82ETL6Xw9ZwfObrpJH7BPjz08TS6jeholrallOxYtI+vn1xASWEpj82dwdBp/Sv1PVv2/lq+f24xvk0b8PraZwloXvUD89sRJcDVwKWIGN655zMSo1OY8N/RTHtj4i3/oAtyC/n6yQVsW7CHVr1CeHHZk2YTqNyMPL57djFbF+zGzceVB9+5h0FT+lTpWo++TM+uJQdY9v5aEqKS8AnyZsSDgxg6fWCt25ThekqLSzl3IIoT204TsfPs/wiSp5877g3dcPepj5uPG+4+rrh6uxDY2r/W7gT0TygrKSP2XAKxZ+LITs0lOyWH7DTt8dpGDNfuH0IIAlo0pMPANnQIbUO7fi2rZb31VsnP0rHlh11snL+D5MupeDR0Y/Qjwxg5M9Qsm5/8GUc2nuCbp34iMTqFHqM78+hn0/FuZJ7lnpy0XN6+5zNO7TpHzzu78PjXMyo15X1673nenPAxZaV6nl/yhNkGDP8mlABXIVJKVn60nh9eWEJ9LxeeXTib9gNa33J7x7ac5KMHvyYnLY+Jz45hysthZpmqklKy+ftdfPfsIop0JYQ9OYrJL4yv0qmlkqJSti3Ywy/vrSYjIYugdo2Y+OxY+oZ1r5Vru/nZOuIjk7h0IoYjmyI4u+8CZSV6rG2saNUrhObdgglo0ZBGLf3wD/G9LdZKK0NpcSlJl1JJiEoiPjKJ84cvcm5/JKXFZVhYCEK6NqX7qM606N6MgBZ+uDWoX2s8/2sYjUaObjrJ6s83ErHjLLb2Nox+ZChhT91RpRW39GV6Vn+2iUWvrUBKyZSXwgh76g6zeOEGg4FfP93EgpeWYmtvw3++fJCBk3rfcntpcRm8MvZ9Yk7H8eC79zDhv3dW2sZ/E0qAqwiDwcCCl5bxy7ur6T2uG3PmzapUXt61wK1GLf14+sdHzVadJi0ug48e/JqTO8/Stl9LHvvqwUqtEf0V6QmZrJ+7lY3zd6DLLqiRwh1/hdFoJOZ0HCe2nyFi5xliz8RV5JOCtiNSl6Ht6TSkHW36tsDe0a4Gra07lJXqiQyP5uTOs5zYdpqoo5crzjm6ONCsY2PaD2hD+4GtCenSpFaVQYw9F8/yD9ay8+f9WFpZ0O/unoydPcIsu5L9EenxGcx94kcOrjlGs46N+e+Pj9K4TSOztJ1wMYkPp8/lwuFopr0+kckvjLvl319xYQkfTp/LvhWHGf/ESB549x61ocPfRAlwFZCZlMW7937B6T3nGXb/AJ787uFb/nIbyg0sfnMVi15fQZdh7Xl55dNmmb40Go2s/3obPzy/BCklMz+4j5EzQ6tMBBMvpfDTK8vYt+IwSEnPMV0ZM3s4bftWX+GOP0Nfpid8QwT7Vh7m1M6zFfvWBrb2p3mXpgS08NM83Fb+ZtkUQ6FNicaejSc+Sls3vxAeXbHpgp2jLW37taT/3b3oM757rZmyT7yUwtovN7NtwZ6KAjQz37+3SvPg9/96hM8fmY8uu4CJz45h8gvjzFJXvVxfzkcPfs2ORfsYOLk3//niAZxc691SWwaDgbmP/8i6uVtp1imI55c8Ua0FT+oqSoDNzOk953kt7EP0pXoe/fyBSgU7ZKXk8Nr4D4gMv8Tg+/oxZ94ss4wsU2LSePe+L7hw6CIdB7dlzrezqkxUslJy+OWd1az/Zhs2dtaMmjWY0Y8OqxUilhaXwbkDUZw7EMn+VeHkZepw9Xah05B2dAxtS8fQtpWuSqb4Z+Rn6Ti99wKndp3l6KYIUq9m4OBkT69xXWnbpyXt+reqFXtHXyvB+su7q8lJy6P/3T2579UJVZYlkJeZz7dPL2T7wr34h/jy7MLZZvG+jUYjS99ezaLXV+Dq7cJLK56iZffgW27v4JqjfPTg1+hL9Ty7cDa9x3artI23M0qAzUhmcjYPtX8aZw9nXl/zTKWS6zMSs/jvoNfITslhzryHGDCxl1lsDN9wgvfu+wKARz69n9B7+1aJB5qTnseydzXhLdcbGD59IPe9NqFGdqu5nuQrqexbcZh9Kw9zKSIW0LytriM6MnTaADoNaatyG2sJRqORs/sj2fbTHg6tOUZBbiEAjdsE0GtMV3qN6UqT9oE1OoNSpCtm+QdrWfXxBspKyhgwuTfTXp9YZQPM49tO88nMb8hJzeXhT6Yx6qEhZnn/F49f4a2Jn5CfpePD3a9WqkJXRmIWr4d9yNVzCXx1/D0VIf0nKAE2E+X6cp4f8TaRh6Mr/aVLj8/g6YGvkZeRzztbXjDL3pxlJWX89Mpyln+wlibtA3ll5dNV4kmU68tZ99VWFr62nGJdMaH39eOeF8bX6Eb2xQXFbPtpL1t/3FUhuiFdmtA3rEfFvrJKdGs3RqORxOgUjm85xYE1Rzh/IAqjUeLdyJMRM0IZOTMUFw/nGrMvJz2PlR+uY+1XW5BScvczY5jwzJ1VMnWen63j3Xu/4Njmk/Qao9WPN8fANj0+gyd6v4S+VM8n+9+olANxzRlx8XTmjXX/V6O//9qMEmAzkJ+l49VxH3B2fyRPffcww6YPvOW2Ys/F8/Lod9HlFPLu1hfNsraUejWdl0a/y9VzCYx4cBCPfHZ/leRlRuw8y9zHfyDuQiKdh7bj4U/ur7HRb0FuIce3niJ84wnC15+gMK+IZp2CGDCxN33DupsttUNRM+Rm5BG+IYLdS/cTseMsNnbWdBnWnq4jOtHzzs7U96yZFLaMxCzmP7uI3UsP4hXgwcwP7qNvWOX3874Ro9HIqo838ONLv2DnaMtLy5+kw8A2lW43PiqJp/q9jIWlBS8ue5I2fVrcclundp/jtfEfYjQaeWPd/9G2b8tK23e78WcCjJSy2o5OnTrJukjylVQ5LWS2HG43Se74ed8tt2M0GuXGedvlCPtJMsz7ARl19JJZ7LsUESMn+Dwox7hOlUc2RZilzRtJT8iUr931oQwVYfLeJo/Kg2uPSqPRWCV9/RXJManys0fmyxH2k2SoCJPjPO6X7039Qp4/fLFG7FFUPbHn4uXnj86XkwJmyVARJofbTZKfPTxPJl9JrTGbTu89L2e2f0qGijD59MBXZFxkYpX0ExeZKB9sPUcOs7lb7lp6wCxtxpyNk1ODZ8shVhPksvfXVOq3nBKbJu9v8bgcVe8eeXb/BbPYdzsBHJd/oIlKgP+CqKOXZJj3A3Ks+7RKfbkKcgvkG3d/JENFmHxmyOsyKyXbLPYd3XJS3uE0RU5u9JC8ej7eLG1eT7m+XK78eL28w2mKHGE/SS56fYUsLS41ez9/h5gzV+U7Uz6TQ6wmyGE2d8sPH5grzx2MkuXl5TVij6L6MRqN8vKpWPnxjK/lcNuJcojlXfKtyZ/Iy6dia8Se8vJyuW7uFjnGdaocZnO3/OGFJbKkqMTs/eRn6+Scvi/JUBEmf3lvjTQYDJVusyCvsGJQ/fKY96Qup+CW28pMzpbTQmbLO5ymyHMHoypt2+2EEuBbJCMpS452vldOCXpExkfd+ui2tKRMPtLlWTnEaoJc+s6vZvnxlJeXy5/fXCmHWE2QM9s/JTOSsird5o3ERSbKR7s+K0NFmHx+5FsyOab6vY2y0jK5+5cD8ok+L8pQESZH1btHfv3kApmRmFnttihqFxlJWXLefxfKO5ymyFARJh/r9YLc/MMuWVRQXO22ZKfmyHfv+1yGijA5LWS2vBAebfY+SotLKwTzpTvflQW5ty6Y1zAajXLVpxvkUOu75cOdn5GlJWW33FZGUpacGjxbjnGdKrNTcypt2+2CEuBboCC3QD4z+DU53G6STLqccsvtlBSVyLfv+VSGijC5b1W4WWxLi0uXc/ppo+E3J30iC/IKzdLuNcrLNa93hP0kOdZ9mtyz7GC1TzdnJmfLha8ulxN8Z1RMey97f43My8yvVjsUtZ/8bJ1c/uE6eX/zx2SoCJOjne+Vn8z6VsacuVrttpzYcUZObvSQHGJ5l5z3zCKze8NGo1Gu+kQTzKnBs2XM2TiztHtwzVEZKsLknH4vyczkW5+di4tMlMNs7pYPtHpCJkQnm8W2uo4S4H9IfFSinBYyWw61vltu+m7HLbeTHJMqZ3V4WoaKMPnzmyvNYtu+lYflGNep8g6nKXLbT3vMLoxxkYlydo/nZKgIky/e8U6lfoy3QmZytpz7xI9yuO1EGSrC5HMj3pLhG0+YZdZAcXtjNBrl2f0X5HtTv6iID3hr8idVtjb7RxTkFsiPHvxahoowOTV4dpWsi57Zd0He1eABOcrxHrln+SGztLnj531ylOM98q4GD8jTe8/fcjsRO8/IcR73yzvr31dlMSl1iT8TYBUFfQP52Toe7fwsJYWlvLTiqVuO6svP0jG7+3Posgt4duFsuo3sVGnbdi7ez3v3fUFIlyY8t/hxs4f9H1h9hPenfom1rTWPfHo/Ayf3rrb8y4SLSaz4cD07Fu3FUG5gyNT+THxurNm2Xqzt6Mv05GXqyMvIJy9TR2FeESWFJZQUlFBSWEpJUSmGcgOGciNG09aDoG1taGFpgaWlBZbWltg52GLrYIudo3bUq++Is4cTLh7OuHg4maW6Ul1Al1PAig/XsfqzTZQWl9FjdGcm/PdOWvWsfLrf3yVi51k+mfkN6fGZzPrgPsY+PsKsv6fM5GzemPAxUeHR/OeLB8ySL3z1fAKvh31IVnIO35z84JbTGK/Vj068mMw3pz78V1fMUmlIfxOj0ciLd7zLqZ1n+Xjf67ecHqQv0/PcsLe4cOgiH+5+tdI5vmWleuY9vZC1X22hTZ8WvL35BbPmHhrKDSx6fQWL31xF865NeXnl03j6uZut/T8jPSGTH55fwq4lB7CysWLotP6EPXXHbSm8eZn5XD4ZS2J0imnrvzRSYtJJj8+sKEDxV1haWWJpZYGFpbZ7ldFg/O0w/vVv2b6eHd6NPGnQ2Kvi0b95Q5p1bFzjBVSqgtyMPNZ+uYW1X21Bl11At5EdmfH+vTRq4Vct/RfmF/HBtC85uOYYAyb14rGvZlCvvvl2iSopKuX1uz7i2OaT9JvQgznzHsLR2aFSbabFZfBQh//iF+zDJ/vfuOV63ZnJ2cxo/SSNWvnx0Z7X/rV5+EqA/yaL31zFgpd/4bG5M7jjoSG33M7nj37H+q+38uzC2YRO6Vsp7SO02AAAIABJREFUm3Iz8nh++Ftciohl/JxRPPDOZLMWQc9IzOLNiZ9w4dBFhkzrz+NzZ1SLl1SkK2b5+2tZ8dE6pIRxj49g/JxRuHrXr/K+q5LiwpLf9taNSSf1qnZcPhlLRkJWxXW29jY0aKztD+wV4EF9LxfqezrjYjrq1XfEztEW+3p22DnaYetg85c3MKPRSGlRqeYxF5ZSUlhCQW4ReZn55GfqyMvUkZOWS1pcBqmx6aTGplOkK654vVuD+jTp0JiGTRrgHeiJd6AXPo29aNDYy6yiURMUF5awfu5WFr+1ipLCUkbOHMy9r9xVLdthGo1Glr6zmoWvLsfdx5UXl80xS+Gd69tf/sE6fnxxKQ0CPXl78wuVHsDuXxXO63d9xISnRzPj/XtvuZ0dP+/jvfu+4KGPpjJ+zqhK2VRXqZQACyH8gYVAA8AIzJNSfiaEcAOWAYHAVWCClDLnz9qqzQKcEpvGzDZP0WVEB15a9uQtTeX8P3vXGRbF2UXP7NJRBBV77zVq7D0mC/a+NBVb7DXG3mNv0cSYRI2JiSX22GIXxd57FxHBRu9t2TL3+/EysPIBwszsCprzPPvgLjP3fXdd5sxt5xJR2hDr3t90xohVAyXtyWAwYEanxbh/7jFmbv8GLXs0kWQvI/xvv8CsrkuQHK/B+LVD0c7L9CFng8GAI7/5YPN3uxATHocvPFtiyJK++VI0IzEuCc9uBuDJ1Wd4ct0fftefI/x15DvH2Nhbo3h5Z1SuXwFVGlRClQYVUL5WGTgV//Cj+YgI8VEJCHz4Cv63XsD/zgs8vxOIkMAwJMUlv3Ns4ZJOqNaoEqo1rIxqjdgjL89yzgox4bHYPHcXDm/wgbWtFTyn9YR6YldYWZt+ss/T6/5Y3OdHRAXHYO7eyWjkWk9W+w8uPMacHsvhXKYIfrq8SLIQz4/D1+PwBh/0/qYzhi73FjVClIgws/NiPLjwBAsPTf8khTqkEnBJACWJ6BbHcQUB3ATQA8BAAFFEtJTjuGkAnIhoana28ioBP776DHO6L4Neq8eaK4tFybNpNVqsGrYOp7aeR1v35pjy1xjJnuSWebuxed4uTFg/HJ2GqiTZyogrh25ikdcPKFi4ABYdmi7bCLTs8OiKH9aM/h3+t1+YZcKMKfD6WTAu7b+Giweu4/FlPwh/P6WqlED1xpVRoXY5lKxUHCUrMe/WoUjBD060YhAfnZDmJYe8CMOLBy/hd+M5Xj5+k/aeqzWqjBbdG6NF98aoULtsvnqfr56+wR/T/8bF/ddRumpJjP5pMBq3r2/ydaNDYzCtw0K8fPQa0/8ejzbq5rLav37sNmZ2XoIv+7TCpI2jJI17NOgNWDdxE/avOYpG7eth5vYJoiIhoUHhmN5hIYIDQjHxj1GSo4L5DbIqYQE4AMAFwFMwYgaAkgCevu/cvFgF/fDSE+pk60XelUeLrpY0GAw06avvWLXzgj2SK5N5nqddKw6Qi8KNlvb/SdZKZ57nad9PR8hV6UYjG00xS5VzQmwi/TB8Pak4NXmUHvpB2prEgOd5euMfTIc3+NCSfqupf9UxpOLUpOLUNLLhZPprzg66duw2xUZ+Oq1RiXFJdO/cI/p70T80ptn0tM+jT/kRtNDrBzr46zEKuB+Ub6rWrx27TQOqjSUVp6YFHivN0r8aH51A41vNJFelG+1cLo+ohjH+XvQPU+f66jtKik+SbO/wbyepvaUHDak7QXSfcFxUPE1sN5dUnJqObjwteU/5CZCrDQks3PwSgAOAmAy/i37f+XmNgJMSkql/ldHUr+JIigqNEW3nyO8+pOLU9O+6E5L3pNfp08hqntv3svYRJsQmpqlxzeq6xCyCBVcO3ySvssPJVelGayf8SYlx0i8IpoRep6dLB6/T0v4/kVfZ4WkE41bia5rbcxntXX2YQoPCPvQ28wwi3kbRofUnaL77SvIsMyzt8+pZZCDN7bWczu25TNoU8eIO5kCKRktbF+yhjtae1LPIQJO092VEUkJymqjGrK5LZL+JO/bnaXK1cKdxLWfKIthxYd9VUnFq2rfmiGgb2hQtTWw3l3oWHkAx4bGS95RfIAsBAygAFn7ulfo8RwQMYBiAGwBulCtXzmxvOidYPWoDuSjc6M6ZB6JtxEbGUW/nQfRN61mS/2gTYhNpWocFpOLU9Pu0rbLeGT+7FUD9q4xmalxL95ncQ4kJj6Ul/VaTilPT17W/MYkykJx44x9MG2duI4/SQ9P0pee7r6SDvx6joMev84XH/qHB8zy9fR5Cx//ype8H/5JGyOpig2ndxE0mkUqVE4GPXtG4ljNJxalpWocFFPwi1KTrCdGoDlYe1Kf8CNn/Rs7tuUztLT1oVOOpkgme53n69os55Fbia0k37i8evCRXC3f6Yfh6SfvJT5BMwAAsARwH8K3Ra/k6BP38biCpODWtnfCnaBs8z9PyQT+Tq9JNshYtz/M0o/MicrVwp8MbxIt/ZIanN/yps10f8iwzzCxi6fcvPCb3UkOpg5UHbZq7U5K8nSkR/jqCdizbT0M/+5ZUnJpclW40s8tiurj/Gum0ug+9vXwPvV5PV4/cou96r6D2lh6k4tQ0qOZ42jxvV55VSTIYDLRvzRHqWrAfdSvkLZt6XXZ4cu0Z9as4kjraeNHDS/LqKF86eJ06WnvS1PYLJN9EPrj4JE19T0pU49dv/iQXhZskhcH8BEkEDIADq4L+McPrKwBMS/33NADL32crLxHwjyPWUwcrD9F3hjqtjpYNWEMqTk2/TdkieT/n914hFaem3SsPSrZljIB7geRZZhj1KT9CtgEQWcFYJq9/1TEfTCA/O2iSNHRyy1ma4jqfXBRuaRrCu1cepLBX/+lLmwpRIdG0b82RNAlVFaemUY2n0p5V/0oaAmAqBL8IpTFNp6XdpJt6AElMeCz1rzKaujv2pyuHb8pqe99PR2S7tmxfspdUnJqmtl8gOp0U9iqCXJVuNK3DAkpOlH9wRV6DVAJuBYAA3ANwJ/XRCUARAKcAPEv9Wfh9tvIKAW+et4tUnJp+GLZO1PnJiRqa3nGhbEVX5/Zcpo42XjSs/kRZPa+zuy9RF/u+5F5qKD2/Gyib3cwQFRKdFj6f02OZLHknORETHkvbFu8ldfGvScWpqV/FkfTXnB151hP7mBH2KoJ2fX+QRjacnKbd/NuULXkut56i0dKaMb+TilPTkLoTTK4tHfwilIY3mEQuCjfaulD6dUWAXqenuT2XkYpT08/j/pCcfjq6keWXRzaaIjqXe3iDD7ko3Oib1rNk17LPa5CtCEvqIy8Q8IlNZ0jFqWnZwDWk14kbY/fHjL9JxallCRVfO3orrVhCzsKEq0dukavSjca1mGHySudXfm+pX6VR1NmuDx345Vieypc+uPiElvRbna4t3XEh3Tp1L99U6X7seHYrgBZ6riJXpRu5KNxoRudFdP34nTz1Hbp65Ba5lxxC3Ry86Y6v+HqRnCA5UZNWOyFHUacAvV5Payf8SSpOTdsW75Vs7/K/N6ijtSetHLJWtI0zOy+Sq4U7LR/0s+T95GX8R8CpCLgXSJ3t+tDEdnNFk2/YqwjqZOtFi/r8IHk/z24FUNeC/Wh4g0myVgc/vxtIXQv2oxGfT5alDSE7PLnuT+pig6m38yB6cu2ZSdfKDZ7e8E/zyLs79qefx/5BLx7k7SKgTxnBL0Jp48xt5F5ySNpUnrw03D30ZTgNrjWeOtp40cX910y6lsFgoOmdFlFHa09Z/6Z4nqfFfX8kV6Ub3fS5J9ne6lEbqIOVB4W+DBdtY+PMbaTi1HTt6Mc7tOE/AiaW+xtYfSy5lxwiKRf6/eBfqKO1p+QKycjgKHIvNZS8yg2XdZZvVGgMeZUbTp5lhpl8Zu7VI7eoS4G+1K/iSHr19I1J18opAu4H0Tz1irRWmF0rDnyQ+bD/QRxSNFra//PRNCKe3nEhPb6aNyroYyPiaEzTaeSqdKM9q/41qZceGxFHfSuMpD7lR8g6gjMpIZmG1JlAvZ0HSY6MBb8IJVcLd/pl/EbRNlI0Whpcazx5lR3+0f6d/kfAROS74wKpODVdOXRDtI3I4CjqaO1Jq0dtkLyftd/+Ra4W7rLmleKjE2hC29nU0dqTnt0KkM1uRhgMBtq6YA+5KNxoWP2Jst5AiEX4m8i0gejdHLzprzk7Pvrc0seM5EQN7Vy+n3oWGZgmkhES+OFzxEnxSTS313JScWpaPuhnk1b4P7n2jDpYMQEMOQsEAx+9IlcLd1o3cZNkW4v7/kid7fpIaqG6ceIOqTg1nd0tz1jFvIb/CJiI5vZaTu6lhpJeLy70HBUaQ0PqTKDOdn0k9zOGBoVRNwdvWcLYaTZfhtOQuhOog5UHnfr7nGx2MyI+OoFmdV1CKk5NS/qt/uB3rSnJKbRt8V7qUqAvdbT2pA1Tt3xSylQfOxLjkmjT3J3U2a4PdbL1or/m7Pjg3zmDwUCbv9uVVkFvSvWsmz73qJuDN3mVHU4B94Nks7vEezV1sPKQ3GYV9iqC+lcZTd0KeYsmYb1OTz2cBtCKQb9I2ktexSdPwIlxSdTRxot+HveHqPNTNFoaVn8idbbrQ7dOScudRAZHUb+KI6m7Y38KfPRKki0BsRFx5FVuOHUr5C1LbicrxITH0sDqY6m9pQft//noBy+UuXbsNvWvMjqt8vpT6Sv8FBEaFEYLvX4gFacmr7LD6cK+qx96S3Rm1yXqbNeH+lYYadJCR/87L8ij9FDq7thftu94fHQCjWsxg1wt3CVFBYnYzb9Awm+fh4iysdBzFfUqOkjWcHtewSdNwDzP0w/D1pGKU9Pdsw9F2fhz9nZScWq6dPC6pL1okjQ0puk06mLfl55c95dkyxjLBq6h9pYeJi2CSk7U0MR2c6mjjZck5TA5EBMeS0u8WaXooBrj6MaJOx90P//BfLh37hENqzeRSbWqV5hFyzw7PLn2jLrY96URn0826V7eBoRQlwJ9aW7PZbLZTIpPouENJlHPIgMlh7hDAsOoi31fmu++UtT5Dy89oY7WnjS2+fQPHuGQG580AQvkuWGqOLGMgHuB1N7Sg5Z4r5a0D57naaHnKnJRuMl69y7kTzbO3CabzYwIfxNJIxtNIReFG/lsNV14+33geZ5ObTtP6mKDqYOVB/01Z0eeVdn6D6aDTquj7Uv2UkcbL+ru2J8Ob/D5oNEYoRjRq+xwenbbdLUX2xYzEQw5o1yvnr6hrgX70TetZ4nuDBGwae5OUnFqenBRnJrX+b1X0gQ68rp+eG7wyRLw1SO3SMWp6fvBv4j+A53ReRH1dh4kuUfXZ+s5UnFq2r50nyQ7xtCmaGlg9bE0sPpYkyn1xEbG0YBqY6lLgb6SIwBSkBSflNYfOabpNFnzYf8hf+LV0zf07Rdz2ECDbks+aPjS/84L8io3nLo79qfXz0wj7pKSnEL9Ko2iQTXGyVrnIFybpPYdJyUkk3upoTS90yLRNoTBNpvn7ZK0l7yE7AhYkZN5hvkRPM/jj+l/o2Sl4hi3dqioWaWJsYm4dfIeXAd8gUJFHSTt58AvR1G2eil4TOkuyY4AvU6PxX1W47VfMIYu95Y8ezirNRa4r0JYUDiWHJuF5l0zH2lpajy98RwjG06F7/YLGDjfEz9eXIiKdcp9kL38h7yDMtVKYcWpuRj5w0DcOHYHw+pNxK1T9z/IXirXq4BVZ+dDoeAw320lUpJTZF/DysYKE9YPR8iLMExrvxDx0Qmy2P2yTytUqFMWJ7eclWTH1t4GX7i3wF3fB6Lff8evv0Kzrg1x4Oej0CTJ/xnmNXy0BOy7/SIC7gVh4AJPWFpZirJx9cht6HUGtOzZVNJe/O+8wOMrz9BluKssQ8sNBgOW9PsJF/ZexcgfBqJFt8aSbWaGX8ZtxJ3TDzDhtxGo07KGSdbIDkSEXSsOYHyLmdAma7HcZy76zuoNpVJp9r38h7wJhUKBXuM746fLi2FX0BbTXBdgw5QtMOgNZt9LiQrFMHXLOATcDcLPYzeaZI3PVZ9h7j+TEHj/Jaa1X4jE2ETJNjmOw1d92+DRpad4+zxEkq2GrvWg1ehw79xj0TbcJnZDbEQ8Tm46I2kv+QEfLQEfXHscFWqXxRceLUSdT0Tw3X4Bjs4OqNmsqqS9HFp3EpZWFnAZ0FaSHQH//noC53ZfxrDl3ug1vrMsNjPiyqGbOLT+JNwnd4dLf3n2nRvwPI+fRm3Ahqlb0aJHY6y7swL1vqht9n38h7yB5csBX993X/P1Za8DQNXPK+HXm8vRaagKu74/iIWeP0CbojP7Ppt2+hxe03vi2MbTOGEiAmnauSHm7JkE/1sB2DR3lyw2v+zTCgqlAmsn/AWDQfzNS902NVHA0R5/TP8byYkacTZa10SVBhXhs/Wc6H3kG2QVmzbFw1w54PjoBHK1cKc/Z28XbWPv6sMsF/GdtFzEqW3nJQ1+yIjI4CjqVshblvFiWeGO7wPqYt+XhtSd8EGKIVI02rR874apWz54u9N/+PA4fZqoaFH2M7Pnxvjnx0Ok4tQ06cu5H2Twe4pGS5O++o5cFG50dGMmG5QJK4espQ5WHqJbfzJi35ojaQMbpEDQoZ+nXiFac/23KVuog5UHaZLy/7QkfGpFWMJov3vnxGnJ3jp1j1yVbjS35zJJov2PrvhRR2tPmtB2tmzVussGrKGO1p4mk368f+ExdbbrQ1/X/sbk4wszQ0x4LI1pNl020fiPEcuW/T/xnD7NXv+YIZDu7NlZk68An63nqKONF/UpP0K2fvvcQJOkoantmRb5ic1nTLJG+JtI6mzXhxb3/VE2m79+wwY2HFx7XJKd3SsPpk2LE4OLB65JuobnJXxyBLxhKrt7EuO9GQwGGlZvIvWvMlrSIAODwUCjGk8lr7LDZatYjI2Io/aWHpK0V7NDYlwS9a0wkvpXGU1RoTEmWSM7xITH0rD6E6mTrRed23PZ7OvnF+TGG/zYMHs2u2rNnv3+Y5/e8Cf3kkPIo/RQehsgj5eYG6Qkp9C3X8yhbg7eJpNrXTvhT2pv6SFbBbher6fJqnnUs8hASdc/nudpnnoFdSnQV9S856iQ6I/mJjw7Av7ocsBEhEdX/FCmeilRxVfn/7mKgHtB6P+dB2wL2Irex9ldl+F34zkGLfSCQ+GCou28Y3P3ZRj0BrgO+EIWexnx2+QtCHsZgSmbxsKpWCGTrJEVYiPiMMVlPl4/fYt5+6eide9mZl0/r4KIQHwUSOcH0t4FpVzBF819sXPrVbi7azF7RiDc3XXY+bcfvmj1hB1L9KG3bRL4+gJr1wKzZ7OfGXPCGVGtYWUsPTEb2mQtprosQMTbKPNsNBVWNlb4dsMI6LR6rJ+4ySRrqLzbwqA3YNvivbLYUyqVGLjAE/FRCTj8m49oOxzHoc+M3tAkpuDoH6dzfb5jsUL4rG0tbF+yF6/93oreR55HVsxsioc5POCjf5wiFaem3SsPijp/WL2JNLjWeNGa0UTs7q9/1TE0rN5ESXaMEfE2itTFv6Zh9SaaJCd6//wjUnFqWj9JukB7bpGSnEIjG06mTrZedP34p6dqxRsiiU+5TnzibjLELSdD1EgyRPQmQ1g7MgTXJUNw1UwfsyasIYBo1oQ1GX5XiwyhbcgQ3p0MUSPIELuE+MRtxGsuEq8Pzpc5dSle/+OrftS1YD8aUneCycdzZobN85hutKkU5FaP/I1UnJpOb78gm81JX31HHqXFa+cL+PaLOdS3wkhR37mwVxHUq+ggGtV4ar6e341PxQOOj07A79O2om7rmuj1Te6rg98+D0HAvSB0Ge4qqdXF//YLvPUPQa9vOsvSMsPzPJYP/BnJ8cmYsW28LK1MGbFn1b9wKFIQ/ed5yG47O+h1eiztvwbPbr3ArJ3fopFrPbOub24QEUgfCEraDT5mCvjwL0FhzUBRfUBxM4DEvwD9C4BzACw/B+y8wBWcAa7Qj+CcfgPntAVckT04c/8U1m0ZgVkzQrBuy3CcubsHnONP4ArOAuwHAFbNAKUzYHgJJP0NipsLih4ICm8DCm8LPuYbUOIWkO4RiMzfspNbXL8O7NoFtGvHnrdrx55fv/7+c2s0qYo5eybh5aPXmN5xERLjkky72QzwmNIdjs4O2LZ4r0miE6NWD0KNplXxy7g/EBsRJ4vNjoO/ROTbaPjfDpRk56s+rREaFC7Ki3UuUwQjVg2A343nuHQgB//R+RFZMbMpHqb2gH8e+we5Kt3I/84LUefv//koqTg1vfKTpmSzae5OclG4UXSYPHnUXd+zgoZD66Up1WSFO74PyFXpRr9P/9sk9rOCNkVLc3sukxSxyA/geQPxKbfJELuIeaaCpxralAxRY4hP+IN4zVnidUHE81l7HELxlbH3d/o00bBh2XuDPG8gXv+WeM0l4hM2kSH6GzKEtjLaR3MyxMxlv+d1JvoUPjzO7LpE7S09aEzTaRQXFW/Wtf/54ZAsXRVZIeB+ELW39KCl/X+SxZ6Qg92+RFoO9tXTN6Ti1HT4t5Oiztfr9DSw+lgaVn9ivvWC8Sl4wBFvInFw7XF0HuaCyvUqiLJx+9Q9lKhYDGWqlpS0l+vH76Bms6pwdJaeR40KicafM7ehZY/G6DRUJdleRkSHxWKB+0qUkVGlK6f4ZdyfuLj/OkavHgz1t13NurY5QLoH4GO/Y15nlDuQ9DdgWQucw3xwRY+Cc74MhdMacPaDwVm3AWdRDhyXdcSkcWPA3R3YsYN5fwB77umZvTfIcQpwypJYsbo5zlzrD4XjD+Ccz4Fz9sWZO39ixdqpgGYfKHoAKKwF+JipIO2tjy6X3NatOebsmYjndwKxuM+PZn1/Pcd3gsuAttg8bxdun5ZfratinXLwnNoDPlvO4dmtAMn2nIo7omLdcrhz5qEkO6WrloRT8UJ4cOmJqPOVFkr0mdkbAXeDcOf0A0l7yYv4aAj43O4r4A08eo7vJNrGiwevULVhJUn7MOgNCLgbiJrNqkmyI+DIhlPQafUYssxb9tAzEWHN6A1IikvG7F0TUcDRXlb72eHKoZs4/NtJuE3sih5jO5ptXVODyADSHAcf6QWK7AVo9gGW9cEVWg6u2GUonNaCs/MEZ1E51/+fQth1715WgOTunh6WbdcOmDIl+/MFAvf1ZUUyZ86Vhod3SzRp0x2c82VwjmsA67ZAyklQlCcoshco6R8QiRNUyIto0a0xhn3fHzeO3zWZUEZm4DgO438dipKVimPNmD+g08ovEqKe2BWW1pY48dcZWezVaFIVj6/4IS4qXrQNjuNQoU45vHr8RrSN1r2bwdLaElcP3xJtI6/ioyHgM7suonL9CihbvbSo87UaLUICQlG+ZhlJ+7h79hG0Gh2qfi6NyAFG5od/O4mGrvUke+WZ4czOSzj/z1X0n+eBCrXLym4/K8SEx2LlkLWo9Fl5DFzoZbZ1TQkiLShxMyjCBRQzFuBDwRWcDs75AhROP4Oz7QFOka4n/j5lp6zQrh0wciSwYAH7KeREcwKBwN3dgTlz3iVwTmEHzqY9FI4rwDmfB+cwH4AWFDcdFNYGfPxqEC+P9vCHRrdR7VGnVQ2s+3YTIoOjzbauta01xqz5Gq+evMGelYdkt1/A0R4tujfC6e0XZCH4bqPbIyVJi7UT/pJkp0zVkgh69Fq0MpaNnTXqt6uNa0f/I+A8ifjoBDy+8gytJGg2v3z8BjxPKFu9lGgbPM9j/aRNKFHBGS16SNdnfnDxCSLeRKGzCULPPM/jz1nbUfXzinCbaN7w798L/0F8VAKmbRkLK2txOt15BUQE0pwARXQCxS8EFMXAOa7Bio0ncebaIHCK9BY0Y4I19kaF37m7s9ezwvLlwKpV77bidOkCDB/+7nHZEXlmBJ7xZoBT2OPMVU+s+OMQOKfNgFUjIPEXdnORtB1EehGfVN6BQqHAxN9HQpOowV+zd5h17SYdG6B5t0bYteKASaQyv/RqjbjIeDy8+FSyrSr1K8J9cjf4bDkH/zsvxO+pb2skJ2iw94fDom00dKmH137BZr1hMgc+CgJ+dpPlPGo1Fx/23bPqX1jZWKJum1qibfhuv4iAu0EYvLgvbO1tRNsRcO/MI3AchwZf1ZVsKyNun7qP4IBQqL/tCqWF+YYbPL8biCMbfKDq1wYV65Y327qmAOkegqK8QTFjAM4KnNMfUBTZAc6mPZo0UWZLsNl5o5lh+XIgMBCYNAmYPh2YPx9wcwMOHwb+/jvnRD58OLB69bu9tBYWQNeu/2+jSRMOnHUzKJx+BVfkH0BZiVVTR3QBad7ThJvHUaZaKXQf0xHHNp6G746LZl2768j2SIhJNElItU4rNjTl8ZVnsthzn9wddgVtsXP5AfF7alkDLXs0xq7vDyAuUlw4u3L9CgCAwAcvRe8jTyKr6ixTPExVBb19CRtULbay8cl1f1JxavpjhvgqYJ1WR/0qjqQRn0+WrVpv0pdzacTnk2WxlRHz3L6nXkUHmXWgfUJsIvWrNIo8Sg/9IDKXcoHnNWSInUeG4GpkCGnCemwzqR7OiXRiTpWdTp8msrcnGjmSyM6OyMWFiOPY82HDiAoVIvrqq+yroU+fJnJwYMcOG0a0cmX685Ur32+D53nik0+SIcyVVU9HjSbeYH7FNLmgTdHS+FYzqbNdHwp8+NJs6+p1enIvOYTm9DCNdujA6mNpVrclstn7bcoWclW6SdKcfvHgJbko3Oi3yZtFnR8dFpNvuyXwsVdBv3zyBs5liqCgUwFR5x/45SjsCtrCY2oP0Xu4feo+QgLD0XdWbygU0j9WIoLfzQDZirmModfpcePYHbR1a27WEPCWebsRGhiO2bsmonAJJ7OtKydI/xoU6QUkbQXsvME5+4Cz8wLHWfzfse/L12al7NSpEws1G4eGb98GatcGtm0DHByAkycBlQr49VdWBa3VAqdOsXWuX383pCyErlesAPbvB/btY17ztGmAwQBQ38GLAAAgAElEQVR4eABPnwIJCcxGx45sr76+zGMePpzZ4DgOnI0KXNFD4ApMAlJOgyJ7g3TiKlw/NCytLDFn90RY2VhinYmUqjKD0kKJlj2b4pbPPZOMTazRtCoeXfKTbSZx9zEdwPOEs7svi7ZRoXZZtOrVBCc2nxU1bcnRuRAKONojOCBU9B7yIj4KAg4JDEOJisVEnZsUn4zzu6+grXsL2DvYid7Dud2XYVfQFk06NhBtwxivnr5FUlwyKtaRvzjq2a0XSE7QoF67OrLbzgpBj19j/5qj6Pj1l6jdorrZ1pUTlHIGFNkTMASBc/wVCodZ7+R4MyI76URfXxb2FcLJQjh61SpAoWCh5sBA9tqoUex5w4aARgOEhAB16wI+PkD//kCPHoCVFVC5MjvfwiI9v9ylC/Dzz+x8lYoR6+3bQEoKoNMBREDx4sDWrYyMLSzYv0eNYjcCmzYBO3eykHY6kVuCKzAMXOGt8D1fE8vnHwUlHzT9f4AJULiEE/rM7I0bx+/i5sm7Zlv3szY1oUlMkaVlKCM6DP4ScZHxOPjLcVnsFStbFJXrV5BcBNXWvSViwmLx4IK4G7aipQsj0sxyoqbGR0HAYUERKFa+qKhzL+67Bk1SCtoPykU5aQYYDAZcPHAdzbs1gpWNlWg7xti5fD+sba3QvLv0Yq6MuHf2EQB2ETAXfp+6FbYFbDBoUf6seqbEzaDoYYCyJLgi+8DZZF8YZ9wmZEywQoHUjh3s9SVL0om5WTNG1hMnAt9/D6xbB5QsychbpQI2b2aerrc3EBwMVKkCbNnCyHTfPkaaiYnA1KmM2Lt0YTniV6+Apk3ZWv37M/scx9bS6ZiHDgArVzIC5ji2plbLHjVrsv1aWDAit7Bgex4x9nN4Dl+NRg0TQbGTWKV0Puwd7ja6A0pUcMbGmdvNtma9dnVgaW2JQ+tOym+7bW007lAf8+Yk4/hR7Tu/y0mlfWZo0rEBHl58KklFrEnH+rCyscTFfddEnV+kdGFEvPmPgPMUiAjRoTEoIjKkefv0fTg6O0gq4Hr99C3ioxLwueoz0TaMERsRB9/tF+E6sB2Kliosi00BRISzuy+hXM3ScCruKKvtrBDxJhLXjtxC99EdZBEnMTcocROrcLZWgSuyC5xFufeek510YuPGrJe3QQP2WqdOLOx7/jxw6BA7tkEDoHx54P59oFgxFnJOSWHEPGgQULQo8OwZI0ueT1/XwgLQ61m4OcnoWnn/PiPSLVvY88qVAUdH5jkD6TbKlk3/N88z4r96FfjrL2DmTGDECHbj0Lkz84ynT1fgxtPpgK2aVUonrMx3JGxlbYle33SB343nCHr0yixrOhUrhC7DXeCz9RzCXkXIbt99cndYJz+GhweXq0r7rFCnVU3wBh4Bd4NE78m2gC1qNa+GR5fFVWg7OjsgNkJ8T3JeRL4nYE1SCrQaHRyKOrz/4Exw//xj1G5VQ5LIxdPrzwEA1ZtUEW3DGCc2nYUuRYeuI1xksWeMG8fv4NnNALMqT536+wJ4nqDq39Zsa8oFStwIil8EWLuAc/wRHJez6vYpU/4/5yuIZRhXQPv6sjBwSgrQrVt67rVLFyAoCKhYEQgLY4Sr1wO7d7PfBQYym2XKAEol4OLCvNNly9g5ISGMnK2t2XEaDSN44WvOccwTnj+feb4GA3v+zKh4VqFgYe6qVZknrNMxItZogORktt8lS4AmTZTgHBYCtn2AxN9A8UvzHQm3dW8OhYLDmZ2XzLZm7wldQETY+6P49pys8FnbWqheNgRdau/KcaV9dqj0GbvpDLgnnoABNqEq4G6QqD7lAo72SIhOlLR+XkO+J+C41DsihyK5L8CKDo1ByIsw1GlZQ9Ient0KgI29taQeYmP4bDmLWs2rmaRN558fD8O5TBGovNvIbjsrnN19CTWbVTWJmIgpQZpToPilgHWHVPKVJ70AvFugpVSysPLWrSxE3KUL8167dgXi4xnRRUQwsr1yhRGgUsmIMzKSPTcYmNfs7w+8SG3ZJALq1GHnC3UvRCwcHRAA2NiwMPSRI+x1YygUzAMmAvz8GGFbWDDiTUkBWrdm+50+PVXIg1OAc5gL2HkDSX8Cydtk+6zMgcIlnPBZ21q4sO+q2dYsXt4Zbd2b4+jvp2TvCVYoFGjn1QrhNw7i68E6UcItxihSqjAKOtlLbgOq2rASdFo9gh69zvW5DkUKIjE2SbbisryAfE/ASak5CftCuS+gevmEyaNVqPP+kGJ2CA4IRemqJWWpfo4Jj0XAvSA069JIsq2MiIuKx+1T9/FV39aiZiWLQVJ8Mp7ffoGGLvlryhHx0aC42YBFDXCO34Pjcv95ZaV2JVQ5r14N2NkxYqtfn+V7t2xhoeGRI5n3WaUKUKIEULo08Po14OTEiDEpCTh2jJEvwAjz1i2Wu61ZEyhUiBVt3bwJHDzICFvA3bvA4sVAhQrMzqlTzLuuUoUdlzGsDQBNmqTbsLRk3nS/fu/msDmOY9OYrFqB4r8HGcTLD34I1P+yLgIfvEJCjPm8rHaerZAUnyy6MCk7NPiqLiL0NbF+PZfjGcpZgeM4lKhYDKEvpYXLS6fehAcHhOX63JrNq4GIcMtHfi3tD4X8T8Dx7ApkWyD3whdv/IIBQLLnGhwQKroKOyPunmEFUvXa1ZbFnjGuHroF3sCjVS/ximG5xeMrfuB5ShMIyC+guAUAHwOu0DLRnq+gdjV8OLvwCTm4ChVYuLhUKZbznTuXPY+MZGQcHs5ENhYsYPnXP/4A3rxhxBgdzYiQiOWFeZ6Fp40J89kzFnJs0sTo/RAjTmtrRtorV7LWIwFWViyMzbqS330fSiXLIbdrxwrFFApmZ9cu5gEbD4HgOA5cIVbVRbGz81UoWqjOv33KfBf4+l/WgaWVBa4dkV+UIyylGu7jW4zoeeH/CgHFoFi5ogiXSMDCdTLkRe4JuH672rAvZCe6iCsvIt8TsPAfWbhk7ouwgl+EQWmhhHPZIpL2EP4qEsXKiqvCzognV5/BysYS1SQOhcgMN33uwql4IVRrVFl221lByI/XaFrVbGtKBekeAZpDgP1wcJbZV4pn5+UC7KK3cycrWuraFejVi4WDbW1ZJfOiRcDkyYxcVSqWw9XpgK++YvlihSK9PcgitdU4YxtldAZ1Pr2e2Vy7FrBPna/B86xfePFiRqhv36YTrUDoa9ey44pluJfkeZYDPnMGePQIGDyY7dfFhXnAGYt6OGVpcAUmANoLQMqZbD+/vIS6rWuiSCknnNxy1mxr2trboHarGrh3VtrUoczw4LEtVOU3wyqGEVZuZihnhiKlpLcBFXQqANsCNggXUXhmaWWJRu3r4ZbPPUl7yEvI9wT88OIT2BW0RQUR/bLRITFwKl5IUug4JTkFyQkaOBaTp7r31dM3KFO9FCws/1/YQSr8b71A9SZVZJ+qlB1u+dxD+VplJPVYmxuUsAbg7MHZD3rvscaazkKfrLs7I1N3d9Zz26gRy50mJrKfW7cy77ZRIxb+BRjJnTgB/Phj6h6IEa1Atno9I+YCmZQ6CMcY/7cKHnFiajTVwoK1Ek2axJ4bf+UNBmZbsBGW6pw0bJi+F2H9pk0ZUVeoAPz7bzYXdDtPQFkelPA9iOQXmzAFlBZKtO7VDDdP3BU9OEAMKtergKBHr0UJVGSHKVOARvUT8fZ5SNprOZmalRUKFi6AhJgkyfss5OwgesJS9cZVEf46EjHhsZL2kFeQ/wn40lPUaFYVSmXu9YyjwxgBS4FQFu/oLK4KOyNePXmDcjXETXTKDsmJGrx68gZVG8jvWWeF6LBY3D/3CK17NzPbmlJB2ttAyilw9sPemV6UFYwrmh88SNdq/vZb9nPSJODCBebxWluzHG/v3qz6WNBhFlqBdDrWs2uMahm64xKyGUiUVbTX0hKoVy9deMNgYHYtM0lrC152t26sCtt4/VKlWNgbAIYOTX//mV3QOc4KXMGJgP4ZkLw/603nMbTs2QRajQ43jt0x25oV65aDVqPDW/+Q9x+cS5SqVBzBz0NlSQU4FC4IIkJijPheYCC1nSg8TtS5VT+vCICJCX0MyNcEzPM8Xj5+jSr1K4o6Pz4qAQWLZK1klBMkxrIvYwEn6bN0iQhhLyNQvLyzZFsZEfIiDDxPKFdTfnLPCo8uPQXPExrLpA5mDlDyXoCzB+wH5vgcoaJ5y5b0wqQ5cxjJWlmxqmG1mhGwnR3wzz/Mo7SyYj+FqubM4OfHftpImO2h17NiLIFcCxYEnjxhPzNCp2Oke+kSu4GIikr3hIXWJzs7VnH9Xli3B5SVQZr8Q8B1W9eElY0lHl/xM9uaZaqxGhQxedH3wblsUaQka2UpLLNzsAXACiulwN7RPu26mVsI1y9T3Kx8CORrAo4KjoZeZxBdAJUcr4FdQVtJe9AkspJ4GxmmHyXFJUGvM8gWzjaGoCBTtLS8wh7Z4fmdQHAch4p1pVWZmxpCHpeIB1JOA1atceaMbY4Vg3x9WVGTtzdw9ChQrhwLMTs7s5Cu0GJUqhR7vU4dRrhubuk23hfV02jeDTHnFPb26Z6xPnWKYHw8q7SOinr3OAF+fkwYZPZsRsJ9+qT/juPYDYdx2D2rucYcxwE2XwHaGyBenMdjbigtlChXswwCH5pHkAMACpdkgjiRwTGy23Yoyu6yxE4hMoa1HWsqT0nWvufI7GFjZ5V23cwtHIsVgtJC+dEoYr2XgDmO28hxXBjHcQ+MXvuO47g3HMfdSX10Mu02M0dIYDgAiPYYkxM0oqqnjaFJzRVZ20nvEY1JDcsUkimcbYzIt6xSp4gZCfjFg5coXbWELKMZTYm0PK5PEMCH48xVjxwrBgmVzQsWMPJ1c2N5X45jPbmDBrHws4UF8Pw5MGMGsHQpq3zetu3/SbWczPcqiYmZe88xRtd6hYIdVzK1TbtIEealDxjAvHghxFyxIiNzH5/06uf3zTXmrL8EYAC05h35JwXla5uZgEswAo4OMQEBFxEIOJvcRQ5hbcuucVqpBGxvI5qAFQoFCpd0RGTwJ0LAAP4C0CGT138govqpjyPybitnEMIYYkQ4AECn1cPSSlqxk17HXBepdoB0b1rqTUFmkNIvLRbRoTFm9bjFQsjjevQphbnLx8HDu2mOFYMEyUkh57tuHSvAErBxIyt+GjKEhXeLFWPDE2bMYF5vxtTcy2x0DsSm8YxD3BnrDYWe3zJlWFV2t27s+AULmOpWqVJsny4uzHMeOZJVRPv6/r+qV6ZqSxap7Wd68xGaVBQp4SQ6RykG1rbWUFookZwgLbSbGWxSvVappAkASkv2JRKueWJhYWkBvU4v+nz7QnZIipP/s/oQeC8BE9E5AHnydiMliRGWEBrJLXi9QfIwej51nJgcQ+11qWo4cpB5Rgh/gHINi8gJEmOTYO8oPTduDrRrB4z4+jEW/jAGI0bocqwYZCw5qdezHPDJk+ynkP8tXJh5uwoFIzmeZ6+XTk3HcxwTwZAbDg7p9hUKVnQlVEcbe94tWrC2pGbNgLNnmder1zMiTUhgezt5kpHvr78yPWrjkHl2Yxc5hR3A2YN4+fWOTQU7BztoNTpRcoliYWltAV2KeFLKChap1xKdVrpt4RondYSi0kIBg55//4FZwMrGSpYbirwAKTngMRzH3UsNUX+Q4a5aTSphiZxpa9AboFBKS4MbDOyLxCmkt/YId5ZKE7QgCX+Altby284KmgQNbOzF3RyZG76+wLrfq2HWhF+wbp1NjsUKli9PF9po3JiFob29We8vEQs9Bway9qPhwxmxJSSk9+IC7Dh/f1akVVimgIFSCcSlOnGdO7Owt+D9Wlmle9NETEFryBDWI0zEBDqEsHN4OLtpMFZSatAA+OKL9LWyG7sIAOAcAT5P3sNnCuE7KzZMKgaWVhZpN+BywkLwWmUgYOFaSby0imqFUgHeIJ6A2c2K+W6OTAmx7LMWQGUA9QEEA1iZ1YEcxw3jOO4Gx3E3wsPDRS6XOQTiFfvlUigV4KV+mRTyfCmB9D8WUwzpFrxqOf4QcwobexukJOX9O1Uhb7lz8xnMm7IaO3ckZaoYlFnBkYUFGxPYvn36fN+9e1mY1hhaLXDuXPrzzMLPev27E4ykwNhDjYgA5s1jr3Ec2wvHpbchGYeoPT3Z/vv3Z2IiSiV7CKHmnj1ZCF3I8WY3djENFAsozDN5Sw5oJEbWxECvM6R5q3JCuJYI4WMp4GVyNngDD4UEG3qtXrTTldcgioCJKJSIDETEA9gAoEk2x/5GRI2IqJGzs7ztNUJRgBCKzi2UFsq0ELJYKC3YR2iQcEcnIC1cZIK7OyH0LEQNzAE7B1vR7QamQFYVuytWCHlL9l1o1zbkHYEJ4TzjgiNfX+bRLlnC1KwAVsg0bRoj0m7d0vtuv/qKkdjDhyzcW6LEu3sQyM9gSNd2lhNXrrDcs17PiJfj2L50OnYDYWMD/P47I1dPT1YBvWULUKsWE9vYv//dyU2enulh5uzGLgIAUQpACeAU0tTmzInk+GRYWlnAyowXeV2KziSkkhb5koHcBQKWGjXkDbyklJ1Wo4OVzSdMwBzHGY+16QngQVbHmhJCQVG8yBFVFlYW0ErM8wjhYjk8S6FgwhShL9uCrLDLnMULjsUKSZaukxNZVexOnpxKIMpUNTXd03cEJoTzgHQvUJiHKxRgTZuWempqH+2JEyykXKAAm6P79dfM47x0iY0KNIbBwHprTQHBy/X3T59wpFSmvy60QwlKV3/+yVqmvL3TC8KMc7zjxwPr16fbz27sIgAmxAGkf7b5AFGhMZL1AXIDbYoOep3BJOkaIQIlB2EZZKp30en0aY6LGCTFJcNWYvtoXkFO2pC2A7gMoDrHca85jvsawHKO4+5zHHcPQDsAE0y8z0xRrBzTXw4LEhfati0gvhxegJz5IqFnzxQVmEVKseSiOQmxQu2yeO0XDK0mb4Sh31uxa1kH4BxBKaezPM/Xl4Vwk5OZlCTAXvvpJ9ZuxHFscIGjI/v3nDns/PXrWZ7VGMZKVJmFnqWIbwCsCEtvdF/I82xPQija25u9JgiI1KiR/u/Nm9Pf86pV78nxZoeUMwA4wLqFtDdjRgQ9fI3ytcqYbT2h/UhoR5ITQv+vgww3FEKk0UZiy6UmMUW0bgIRISo4GkVEaP/nReSkCtqLiEoSkSURlSGiP4jIm4jqEtFnRNSNiILNsdmMKFq6MBRKBUICxSnI2BawQbJEVRfbNAKWHjss4GgPhVKR1g8sJ4qUYl9YczawV6pXAbyBN2tP5fuQbcUuZwFYfwGknAWRNsvzOI6R0Y0bLO/btSsLzdarx34qFMzLrV2b5UWbNmWkdejQu3vR6f6/LcgYUsLRQhFWxjyzMO2IiHnngkTmjh3sxuHzz1khma8ve8/Tp7P3mm2ONwsQEUhzCrCsD06R99vRgHR1vQq1zeexRwazHv08T8CplcdSc+OMgMXZiI2Ig06rT3Mo8jvytRKW0kKJMtVKIuBekKjzCzjZIz5KWoO6EAaXI9epUCjgXKYIwl7KW6wGACUrFQcAvHryVnbbWaFWcyYkfOP4XbOt+T68r2KXs+3OioaSdvzfecbze9u1A/btY96kVstI9upVRma2tqx15+ZNRqIPHwKurkznuVw55h0LyDh3Vy5kp6xlYcHyvGvXAn37suc8z7zlvn3fJVm9nt04ZJXjzRbaC4D+ITibLrK8J3Pg8ZVn0CSmmHV6lyCrWLyCPCNNjRHxOhKW1paySOUK6Sup6oGJsUlpspa5hXD9KlW5uKQ95BXkawIGgFrNq6dqDuf+SuZUwhFREtVnHIqyZku5wsZla5TCqyfyDzK3K2iL0lVL4tntANltZwXnMkVQs1lVXNh7xWxrZoccVexatQCsmoESfgHxSe+c5+nJyEgoSgKAI0eANm1Yn6xKxcLGSiXg5cVCzERsBKFez4iubVsmaPE+iBnQlZOQtULB9nTiBBPXWLeOKWBZWrL+Xr3+XZJ9b443CxAZQPErWO7XziP3b+YD4dL+a7CwVKJpJ/Ppl7+4/xIWlsyZkBtvU2eVS5n4JkBwVuwdpRUsxEXEiVb7e3aLXb+qfG6+oTKmRL4n4NotayA+OlEUaTkVc0RMaKwo8hZgY2cNGztr2cLGZaqVwqunb2UfTQYAVRpUgN+N52Ydkt64fQP43w4063i3rPC+il0gdaB8gXEARQPJ2985b/16dk7G8+7eZR71xYss5zt+fLrms0LBjp09mxHzli3vesBZgefZEASHXFyn3heyVirTPe5atdhNQ506rEDLzY0VkwnEKmVsHQAg+QCgfwKuwARwnPnEX6SA53mc33sV9drVgX0h8wnIBNwLRNkapU0ygvStf4hs3mJ8VALsC9mJmjxnjJjwODgUFhcS97v5HE7FC306OeC8DuGuMexVZK7PLVGxGHRafZpOslgULVMYYSIGTGeGGk2qQpOYgoC74sLq2aHBl3UR/ioSL+5no3coM6o1qgQigt/152ZbMyvk2JuzbAhYtwXFrwbpg7I8T6iOFjzqQ4fYz9WrGeE+fcpIURDjSEmt04uMZO1IGccBKhRAWaPU482bLLQtB6pVY2FpS0v2uH0bqFuX5X1dXNLzvnKADBGg+KWAZX3A5oPIxIvCo8t+CA4IhYt3W7OtqdVo8eD8E9RtXVN228mJGgQ9Ej8tLiMig6NQWCLxJcYmIikuGc5li+b6XIPegOtH76D+l3Uk7SEvId8TsJCPEFNMJZD3az9pedESFYvJNkqsXrvaAIA7vg9lsWeMFt0bg+M4XNx3TXbbWaFmah74wcUnZltTKjiOA+ewAOAsQbHT2ZSkTJDRowbS+2Tnz2fVxHZ2LEe8ZQvLD9eoAdSsydqRlEpW9JS+LivkEsYGWlunz9/NbHav8Hpm0cWMowb9/BjRtm/Pnlepkk6+t2+zYqucFle9DxS/AKBEcIUWg+PyzyXm4cWnAICGrp+Zbc175x5Dk5SCJp0+f//BuYTf9efgDXza36BUhL2MSOs8EQthgI6YCXYPLj5BXGQ8WvaQ6a40DyD//HVkASn9rWWrszmcQQ9fS9pDyUol8OZZsCyh3aKlCqNs9VK4duSmZFsZ4VTcEXVa1YDP3+dMEuLODA6FC6JC7bK4feq+WdaTC5yyBLiCMwHdDVDc/ExJOKNnfP06yw8LfbLr17NQtPBRK5VMS7l1a5avNRiYl2xvz0jUYGCeqNA6ZKympdMxcY+MZKvTsaIvYyKvVo3JXXbrli7ywXHAtWtsuMKiRUwG09s7nXwF7eccFVdlA0r4FdAcBVdgNDgLEwhcmxB3zz5E6aol4egs/zjQrHBu92VY21qh3he1Zbd9x/cBOI5DzWbyFJSFBoajmAjP1RhCwVnJSrkn4HtnHwEAGneoL2kPeQn5noCF8nox1cxFShWGc5kieHhJmndWpUFFJMUl441MQ6K/6tsGd3wf4o2//N1dPcd1wlv/EJzbbb7CqDbq5rh39pFJqrtzi+zm1/4fbHsC9kOB5G2guLlZesICMhKyry/zhAsUYCFpCwsm4gGw4i1XV6aeVb06I1Fh8pCTEyNOIvZvAChaFDh4kOk4Cx6yVWpqVatlRC6oWjk6soIqHx9m7/PPWS65dWsmHjJvHlO4Enp9lyxh4XQpeV8iAh//EyjhR8CmO2A/XJyhD4S4qHjcOnkPLXtkKeonO6JDY+Cz9Rxc+rdNE+GRC0SE09svoF672qLzrcaIDo1BTHic5PasZ7cCoLRQirITFxkPOwdbyVXYeQn5noDtCtrC0soCsRG5L4LiOA61W9XA/fOPJXmv1Rqxijy/G/LkOdsPbgeFUoEjG07JYs8YLXs2QbmapbH7+wOy284KKu82ICL4bD1vtjWzwvvm1xqDFWRNAuxHAMk7QXGzQaTPMYnv2MFIdP9+RsT796f35bZrx6qnvb3ZMARhSEPdukB0NCPOihXZvwsUYHrOpUuzSmsLC+YJa7XsNUFSctkyRuwBAaywKiWFhbxv3mQtU1euMBI2lpLMVVtRFiAiUMIPQOLPgG1vcIWWguOkaw+bExf2XoNBb8AXHuYTDNm/5ij0Wj16f9tVdttPrvnjrX8IvurTWhZ7Qqtnxc+kDaz2uxmAinXLiZrKlhCTiIJO4kbP5lXkewLmOA6OxQqJbidq0K4OIt9Gw//2C9F7qFC7LOwK2soWZi1aqjBa9myCQ+tPpDXSywWFQoEv+7TGs1svEBclr+2sULJScdRvVxv71xxBYqw42VC58F41rAxgJDwBsB8JJO8GRQ9Go89jc0TilSsz0m3Xjg02uH2bPa9cmf0+MJCRtLc3I1PBkxUQHMx0oxMSmLf75g0jWI2GPbe2BkJDWag5Lo552QALKW/YwH7/66/vvu/Wrd+VkhR+J9rz5RNAMWOAxHWArTs4h0X5jnwNegP2/ngI5WqWRpUG8hQsvQ/x0QnY99MRtOrVBGWqyt9+tGfVv7Cxt0br3vLkSx9d8gPHcahcv4JoG1qNFo8uPUWNJuJSE7ER8aJnv+dV5HsCBoBi5YsiVKQcZWt1M1haWeDEpjOi17ewtEDzbo1wcf81SYOmjdFnei8kxSXjggkKpoSKywfnzVcYNWRpP8SExWHrgn/MtmZWyE4NKzNwHAdFwQngCi0DtLdx/dzfmDb51TskPn36/3uRxiFplQqYNImR8JQpwKhRTAhjyBDWCjRiBCNWrZYVRtnYsOchISynK+SDeZ6FpRUKdsyyZUDLlizkzPNMo3r2bFb8ZSygIbxvSa1FGUD656BINZByGlzB6eAcFuSroisBx/86g6BHrzFwgRc440HJJsTdMw+RnKBBz3GdZbf99MZznNt9Gepvu8rWTnXt2G1Ub1JFUjj75sl7SE7QoIXIMH/kmygUKf1xKGAJyH9/LZmgRIViCA0UR8AFnQqgRY/GOL3tAlKSxes5t+7dDPFRCbh9Wp65FGWBETgAACAASURBVJXqlYeNnTVe3Je/HalGkyqwtLbE3TPyV1pnheqNq6D9oHbY99MRvHhgvjaozPDe+bVZgLPtCa7ILjRq8BxLl9mjg8oPCxYwVSkhj5oVvv2WkeSkSSz0vHZt+oD7KVNYyNnenk1OunQJGDQovWXIw4MVUQkQQtRz5rDQ9ZQpzP7kyUyjOimJ9SK/78ZCLIgIlLyfkS/FgHP6E5z9ILORl5xIiEnE5u92olbzamjV03z53wfnH8PS2hLVRXqD2eHQ2uOwc7CFeqI8oe2Y8Fg8veaPJh2kiZOc23MZBRztUb+duIKziDdRKPqRSFCmgYjM9mjYsCGZAlvm7yYVp6aE2ERR5989+5BUnJq2L9kreg8pySnkXnIIfdN6FvE8L9qOMca1nEljmk2XxVZGzOyymNxLDSW9Tm8S+5khKjSG3Ep8TQOqjaX46ASzrWuM06eJihZlPzN7nhPwhlj6fsE/xHEGatX0LnEcT99/n7P/89atmRJz69bZ78nenmjlSqLZs9PVm5VKYyVndozxOYUKEdnaEtnZETk45O495RR8yh0yRHiQIbgqGSI8iNe/lX8RM8FgMNCMzouovaUHPb7qZ9Z1+1YYSdM6LDCJ/SF1J9D0jgtls7d53i5ScWoKfPhStI23z0OovaUHrR61QdT5sZFxpOLUtGPZftF7+FAAcIOy4MSPwgOu1ogl1cTmcT9rUwvNuzXC9iX7EBMeK8qGlY0V+s1W48GFJ7h25JYoG5nty+/GcyQnyD9CsNMQFaKCo3H1sDx7zQmcihXC7F0TERwQik1zdpptXWPkRA3rfThz1gFLV/dCX68wXLj6Gfr23o+lS+Jx+mRgtuetWgVcuMDysBcusOdZ7enff1k++KefmBdsY5PeCyxUQQthaV9fVl1NBBw+zELPHAf06CGjuIb+FfiYb0BRboDhJQs3F94GTil//tJc2L54H64duY3RqwehRhPzaT8/uPAEoUHhUPWTX/AjMS4JQQ9fo2YzeXp/kxM12L/mKJp1aYjytcRXQG+ZvxtKCwX6zOwl6nyhVbRiXWlFYHkNHwUBV23IqpAfX3km2obntJ5Iik/GXQkCGB2HfIVSlYtjw9St0EmcMwwAn7WtBd7A4+6ZR5JtZUTTzp+jcEkn7Fn1r1mlKeu2rgkX77Y48rsP3j6Xp20rNxCrbWyM69eBZs2Ag4dKYNYsHsfOdMS0sX9gx+YrWDbvAEh76/8+0y5dgIkTWRj63Dn2c+JE9npmewKAvXtZ+Pn4cZZDTklh+WG9HmjQgOV5d+xg+/HwSC/4EgZFeHrK0Ner9wcf+x0oogOgOQ3YjwZX9AQ4O498me8VEPYqAjuW7kNrdTN0GeFq1rUP/3YSNvbWaNEjm5yFSDy69BREJNswiQM/H0NcZDw8pnQXbeP53UD4bDmH7qM7iA4hP78bCACoUNt8YyLNgfz7F2QEp2KFUKVBRVw6IL5gSbizevVUvCqWhaUFhq3oj6BHr3HpwA3RdgTU+6I2HJ0dcGyj/O1ISgslvOe44f75xzj8m4/s9rND/3nusLS2xLIBP5tNEERONG7MSJTjgC+/VGDXLhvMXzUeuw72QKM6R0BRnqAoNSj5XxCxG7HwcJbjbZCaRmvQgD0Pz6J0IaP+dOvWrFDr4kWWu371iuWAK1dmBC4cJ0CYQSym6IrIANL4gI8aAIroBCTvBmx7gHM+AUXB8eAU+bsSlYjw06gNAIChS/uZNXf94MJjnN52AT3GdIStyJm42cF350XYOdjiszbSpS1fPwvGlnm70LxbI9RpJd7esY2nYWVjCc/pPUXbuH3qPoqVKypKwjIv46MgYABo69Ycj688E10NbWtvgxIVnPHyiTRVrCadGsDCUgn/W9KnDllZW6L9oHa4fPAGwl/nXuv6feg8TIX6X9bBb5M3i/7cxKBY2aIYs+ZrPLr0FLuWHzTbunJBULzaty+9p5jjFPDwtMGXPX8A5zAX4BNAsRNB4V+Aj/0OV85dRJ8+BvTsmV45/e+/wNKlmYuAZPSKGzcGdu9O15s2FtCQA0Q8SHsTfNwyUPhXoJhRgD4QXIFvwRU7D0WhReCUJeRZ7APj9LYLuHr4FgYt9Eob02kOGPQG/DT6dxQrVxR9ZvWW3X5yogbn91xBW7cWsLaVLuyx94dDUCgUGPfrUEl2Xvu9RblaZURXUGtTdLh96j6adGyQLwv9ssPHQ8DurIH+4K/HRduoUKcc/G8HStqHpZUlKtYth8dXxYfDjdF5uAsA4K85O95zZO7BcRwm/j4SALDQY5WkKvDc4qu+rdHGrTn+mrMDp7dfMNu6ckAgR+N2pnHjmMfJKezA2fUFV/QoOKff2EACzT5Q9CB4tB8DrVaLBQuAESPY6KKsREAyQo7cdUYQnwRKuQQ+bgEovA0oygtI2gxYVAbnuAac8ylwBUaAU3w8laf3zj3C6pG/oUbTqug+toNZ1/592t94cf8lRv4w0CTe76G1J6BJTIFLf3lyy0+uPUONplUkVR4TEQIfvEqT/RWDq4duIjlBYxK97A+OrKqzTPEwVRW0gGUD11BHa096/UxcZebulQdJxakpNChM0j5+n7aV2lt6UEKMPJW+f87aTipOTWd2XZLFXkac33uFVJyati7cYxL7WSEpPokmtJ1Nrko3OrHpjFnXlgNC9fLs2dlXUvN8MvHJJ8jn4C9UyCGObG2SyM42iRwc4snn3z+JTzpIvPYh8YYEWrbs/+2cPk20bJm0vfK8hnitH/HJR8gQu5AM4T3JEFyDVTMH1yZD1Ei2D0OctIXyMG763KPOdn1oUM3xFP4m0qxrH//Ll1ScmtaM+d0k9t8GhFAX+740u/tSWbowYiPjyEXhRpvn7ZJkJ/hFKKk4Ne3/+aio83mep+ENJtGAamPN2rEhJ5BNFfRHRcARb6Ooa8F+NKvrElFfwsCHL0nFqenQ+hOS9vHg4hNScWo6vf2CJDsCdFodjWk2nXo4DZB8c5AVprjOJ4/SQ0mn1ZnEflZITtTQZNU8crVwp3vnHpl1bSnIbTuT8PtTp1Jo1ozXBBDZ2WrIZ8+QVBJkD59/xlDRIrHkc/BXMsQuplOHD1PRoho6dfwRI2ldAPH6YOINUcQbIonXvyVe94J47WPiU24Sn3yE+IQ/yRC3jAwxU8kQ6U2G0DZkCK5mtE5dMkT0JUPcSuI1Z4g3xJvvg/tAeHTFjzrZetGQuhMoKiTarGvrtDryKjucxrWYYRIS4XmeprZfQF0L9qPQl+Gy2Dy35zKpODXdv/BYkh3hxiPgXqCo8y/uv0YqTp0vb9AFfDIETES063vmxR7dmPsmSJ7nqX/VMTSy0RRJd5F6vZ48ywyjcS1myNYT/MY/mLo5eNM3rWfJYi8jrh29xbzgBeb1gomIEmITaUC1sdTdsT89ufbM7OuLQW49VeF4Y6/ZwYFo6FAD8donxCcfIz5+LRlippLPvnlUtEg0zZqwlooWjiSfPf3eIemcPWqRIbQVGSLcyBA9ifj4Name9n3i+RTTf0B5CEGPX1Nv50HUr+JIig6LMfv6//xwiFScmq4cvmkS+3/N2UEqTk0Hfjkmm81Z3ZZQr6KDJN+QT++0iNxLDiGDwZDrc2PCY8mzzDAaVGNcvvV+iT4xAtbr9TSq8VQa3mCSqPOPbjxNKk5NFw9ck7SPwxt8SMWp6cK+q5LsGEMIkb988lo2m8ZY6LmKOlh5iL5blYLQoDDqV2kUI+Hr/mZf3xzIjdcsCHDMmqVhBK25SHzyCUaiiTuJT9hEfMJm9u+kA4zANWeZJ2yIku3GL78jJDCMvMoOJ7cSX9MrP/OLhoS/iaRuDt40vdMik/yfBD1+TSpOTcsH/Syb/YD7QaTi1JLDz8LexNqZ3X0pdbT2JL+bzyXt40PjkyJgIqJ1EzdRRxsvUXdNep2e+lcZTcPqTaQUjVb0HvQ6PQ2qOZ4GVh9LSQnJou0YI/xNJLko3GjjzG2y2MuI6LAYUhcbTMMbTBKtKiYFIYFh1K/iSOrhNIDunn1o9vVNjZx6zTnNLf+H7PH62VsaUG0s9XAaQP53Xph9fb1Oz0jExove+AebZI2NM7eRq9KNIt5GyWKP53n6rvcK6lqwH8VGSqsH+H7wL9TR2pOiQnMfdYiNYMpXf87aLmkPeQGfHAH77rhAKk5Nj66Ik5e7sO8qqTg1rRj0i6S7yhsn7pCr0o1md19Ker08IZTveq+gLgX6UtirCFnsZcSVQzeovaUHjW0+XbYistwg+EUoDaw+ltpbetDRP06Zff0PDTmkMv8D0bVjt6mH0wDqWWQgPbj4xOzr63V6Wuj1A6k4Nf3z4yGTrBEbEUfdCnnTnB4SK/SMsHXhHlJxatq2WLwsLxHRiU1nSMWpad3ETaLOv3qEpcRunbonaR95AZ8cAceEx5KLwk1SPlPIq+xdfVjSXvb9j72zDosy/d74PXSDlBggKBaIiKjYiCKIYhMidne3a9fa3bnm2t2KjQgSCtLd3TA95/fHCF/X3+6qzDuA7nyuay4QZs7zML7znifOc99775Ejy42OLDojUZwKMhKyqK+qF63z3M5IvL/j1TU/clb0pNldlzM2cPgRSgtLabHzOqnevGor0qqC/i/x9Pwrclb0pElt5lN6fGa1ty8QCGiN+zZyZLnRxS3S0y4+NP8PcpJ3p4Swqms0f8nTcy/JkeVGm0bulmji8eltFLkoD6MFPVdVeQ/5xPLz5KTgwdjqYU3yn0vARERTbRdKVEwlFAppQc9V5NlgosR7Kxu9d5GrujeVl5RLFKeCCnF0aVYGVoxgJTGokAQuh0dr3LaSI8uN9kw/SpxyTo30Q8bPg4AvoJMrLlBvOXeaa7+iRrZRiIgubrlBjiw3urT1ptTa+PgynFyUh9HWsfsZiZefWUAuKl40136FRFtvXA6PPBtMpBGNp1FRbtWXsGd1XkZT2y2q8utrE/+WgH8ZIY6vcZngiJjA+CqbDcjJycFxpD3y0guqbPJQwcDpfcAp5+LZhTcSxanAc/Eg2PSywrZx++Fz/hUjMb/GcWR32Ht0wonlF/DubqBU2vg3lJQVsfzCXAyd64pbBx5iRoeliP/IvDWjjF+DjPgszO2+AufWX4XjqO7YeG851LXUqr0fYW8icXzZeXQbaseYHeDftbGs7wYYmRli/O/ejMR8ftEXfC4fs/ZPhJKyYpXjfHoTibz0AkzeNgpaelVTvooOjEP422g4eHapcj9+Fn7dBDy+J+o3qYsTy89DJBJVKUZHV1vIybHw5kbVNaYBoGXHZmjcuhFuH3okXnaQECVlRay9uRit7S2wedRehDxjxoP4S1gsFhacmA5zG1NsHL4biZ9SGG/jW8gryGPK9tHY9OA3FOUWY4bdUtw7+oSR91DGr8OzP99gis1CJEekYfmFOVh0cgZU1CSXYvxRCnOKsGHYThiZGmD+salSkU2MeBeDZS4boN9AF1t9VqOOoTYjcX3Ov0KTNqYwtay64xEABD76AHkFebR1bF3lGFd23Iaapir6TuwlUV9+Bn7ZBKygqIAx67yQEJqM40vPVymGtr4WrLpb4NGp5ygvqbolIIvFgusUJ8QGJ+D+cZ8qx/kSFTVlrL21BPoN9XBw3ikI+AJG4n7dxpobi6GiroyFPVfjk28U4218D+2crHH4w3ZYdW+JnZMP47f+m5CdXH3a1TJqJ/mZBVjrsR0bh++CaStjHA7Zhh41NGvKiM/CAofVKMotwYpL86Gurc54G0KBENvG7Yemrga2Pl0FvXp1GIn77m4gIv1j4Tiiu0RxeFw+XlzyRauuLaCmqVqlGK+uvcOLi77oO9FRKu9hreOf1qal8ajOPWAicUn9rimHJdqP+fQ2inrLudO+mccl6ouAL6DFzuuoj5Ino0dsXl71k3qxR3JkKo0yn04uKl707l6Q1Nr5FgKBgK7uukOu6t7UX3ME3dh3v0oH/GX83IhEIrp//CkNqjOaXFS86NyGq9Wu4PYln95G0VCDsTRYdzQF+4RKrZ0b++6LNQpuSKZR8CU5qbk01GAsTWozn7hsyQRaruy4TY4sNwp4GFKl1wc9/UguysNoVudlv0TxVQX4LxZhVSAQCGitx3ZyZLlVWWVp74xj1FvOnUJfSSaVWFJQSmNbzKIh+mOrrFf9NSKRiFYO2kz91IZLTaCDSHzkYUrbhTRAeyTFfUiUWjvfQ3p8Ji1yWkuOLDea2WkpxQTF12h/ZFQfiZ+SaUHPVeTIcqO59iukes1/D8mRqTRYbwyNMp9OKVFpUmsnP6uQBuuNoQU9VzEmuMHj8mi+wypy1fCW+H0syC6kwbqjaUmfdVV6fdyHROqvOYImtJor8fnj2sZ/OgETERXnl5CzoicdWXi6Sq8vKy6nEY2n0WDd0RKrsqTGpNMQ/bHkUX8iZSYyo+ucnZJLQ/THklvd8RT1XnoqUllJ2eRRfyK5anjTsz+Z0bmuKiKRiB798ZzcDMdRbzl32jnpUI3IDMqoHorzS2jfrOPkpOBBg+qMptuHHtX46kfQ0480WHc0uRmOk5rQBpFYhnZ0s5nkouLF2OCXy+bScteNjJymKMotpsk2C8hFxavKKnqbR++lAdojKSdVOvoGNcl/PgETiTVJR5hNrfLoMT0+k7xNp9Jg3dGUHifZ2cL40CRyUfGiHRMPShTnS5IiUsnbdCq5aniT/4NgxuJ+TU5aHs3uupwcWW50YM7JGl36IxKvKhyYc5KcFT1poM4ourz9lsRLaTJqD3wen24deEBD9MeSk7w77Z56hApzimq6W3Tn8CNyVvSk8ZZzJL4f/BuR/jHkVnc8DdYbI7ExwpfsnnaUesu50+1DkhnPfJl8q3rfEQqF5GY4jjZ675KoL7UVWQImogcnxRrPkuy/psdlkpOCBx1eUDV1ly/ZOekQuah4MfrhzU3Pp8k2C8hV3Vuqy2E8Lo/2zTpOjiw3mtdjJZUUVL9i1tckhqdUind4NphItw48IB636ucZZdQsAoGAHp56RiObTK+8zmpCTvJr+Dw+7ZspvvaXuqyXqlpcYngKuWp40wizqZQUwdxSe1ZSNrmoeNHOSYckjrVj4kHqo+RZ5X1fIqLQ1xHkyHKjJ2dfStyf2ogsAZPYccfLeDKNbDJdog/N+mE7yFXDm/IyJNNezUjIosG6o2mcxWwqzmfODi4rKZuG6I+lMc1nSn0v5fGZF9RHyZMmWc9nTItWEkQiEQX7hFbO0Ec2mU6Pz7yoETUvGVVDKBTSi8u+NM5iNjmy3Giq7ULyvRVQK8wl2GWcymXbg/NOSdWhp7yUTeMt55Cb4ThGZWd5XB7N6LiUBmiNlFglLC8jX+KVPAFfbJ7jZjiuVgzkpYEsAX8m7E0kOSt60uqhW6v8gU6NSSdnRU/aNeWwxP0JeR5GfZQ8ab7DKkZna6Gvwiul4KQ9C3z/KEQ8Sm88jbHCMkkRiUT07l4QTbZZQI4sNxreaAqdXX9F4kGTDOlRUlBK1/feowmt5pIjy43GWcyml1feSi3x/qjkZ0lBKc3uupyRZdtvIRKJaNPI3dRbzp0CnzCrhVyxcvXyyluJYx1dfIac5N0lcpmqsI+t6ZoSaSJLwF9QYel3ZNGZKn+490w/Sk4KHvTyqp/E/Xl85gU5stzotwGbGC29f3T6eWVcaZsqRPrH0BD9sTREfyy9uib5e8IUQqGQXl71o4WOa8iR5UZ9lDxp69j9lBieUtNdk/GZrOQcOjDnJLmqe4tnvO0W0aPTz6W+avEjpheR/jE0tsUs6qPkSc8vvpFqvwR8AR2ce5IcWW50Zu1lxuKKRCK68Pv1ytoNSQl9HUGuGt60ftiOKscIfPKR+qp60YqBv9eKFQ5pIVECBnACQDaAsC9+pgvgMYCYz1/rfCsO1ZIE/OXZ4GNLz1UpRklBKc3stJSc5N3p1sGHEvfp5v4H5CTvTvN6rGS0svPGvvvkpOBBY5rPlLoofUp0Ok21XUiOLDfaNeWwRHqy0iAlOp32zTxO/dSGVx5furn/gUR6tTKqRllxOT0+84KWu24kZ0VPclLwoN9H7ZFqBf/f8S3bR6FQSOc2XCUnBQ/yMp5MIc/CpNqfguxCWtBrNTmy3GjvjGOM3QtEIhHtnHSIHFlutH7YDolXxd7c8Ke+ql40pvlMykrOqVKM19ffkYvyMJrYel6V7Ap/JiRNwN0BtP0qAW8BsOTz90sAbP5WHKolCZhIfEGu99pJ/dSGU1lx1QwSykvZlftBf26WXATj7pHH5MhyY9yC78OLTzRYdzSNt5wj9Zkwj8ujIwtPkyPLjWbYLaGsJGaOWTFJQXYh/bn5Bk2wmls5K145aDM9OfuyyteCjG/DLuPQ84tvaI37Nuqr6kWOLDfyMplMRxaeZuw4XlVYsUJ8F1yx4q8/L8otpmX9NoiTltdOqe9PlpeU06Q288lFxYsennrGaOyK1bAjC09LnNTvHnlMTvLuNMNuSZWr0fOzCslFeRjN6Lj0lzvz+3dIvAQNwPSrBBwFoN7n7+sBiPqeOLUlAROJ1WscWW70x6qLVY4h4Ato1ZAt1EfJU6J9ECLxaHt21+XUT204o0o3ROLzik4KHjS25ewqn9P7EV5d86MBWiNpgNZIunXwYY2f1/w7RCIRxQTH08F5p8ij3gRyZLmRq4Y3bRt/gML9on/pJbHqJDowjnZPPUIDtEeSI8uN3OqOp70zjlHo64gavy7+bgYsEono+SVfcqs7nvooedKtAw+kfi2kRKXRxNbzyEnenXGludBX4dRfcwTN6LhU4vc7JjieHFlutKTPOom2y04sP0+OLDfGbBRrO9JIwIVf/b7ge+LUpgRMJLYJdFb0lEhcIy8jnwZojaRl/TZI3J/8rEKaYbeEesu50/U99ySO9yXBPqHkbjSe+qp60b1jT6R+U0mPy6zce51rv0LiAYo0EQqFFPYmkraNP0CuGuK9yLEtZ9O+mcfp5VW/WnHu9GehtLCU/O4G0rElZyuL4PqqetGmkbsp2CdUqpXDP8Lf7QHr6QppVNcLldXXMcHSV1h7cdmXBmiNpCH6Y8n/PrPJN+R5GLlqeNPYFrMoJy1P4ni/DdhEg+qMlmg1ICMhi1xUvGjD8J0S9+dnoUYTMIBJAN4DeG9iYlJdf/N3UZRXTB71J9IEq7kSefVWVPIxUVnILuPQykGbK4slmLxh5WXkVybFLWP3Sb1CukKzd6DOKOqr6kUXt9yoceGOb1FaVEZ3Dj+iRb3XVBYGObLcaILVXNox8SA9v+QrW6r+Ak45h97c9Kc904/SZJsF1FvOnRxZbuSs6EmzOi+jG/vuM3rMjim+rIIWCoV098hj6qy+kZornKOLW25IfaAg4AvowJyTlfUIVd1L/ScCHoaQq7o3jbOYzUj1/4cXn8iR5UbnNlytcgyhUEgrB20mV3VvRo9W1XZkS9D/wrt7QeQk706TbRZUWQaNx+XRZJsF5KzoSXcOS35EQSAQVB4XODRfctGPr2OfWvknObLcaKHjGqnvCxOJ1bMqBhUTWs2lkOfSLWZhCh6XR2FvIunchqu0yGktDaozmhxZbuSi4kXLXTfS7UOPKDYkodbM6qoDoVBIKdHp9OCkD60avLmyqK2/5gha6LiGTq++REFPP/40YvrRgXE0o+PSSrGP6lip4XJ4tGrIFnJkudG+WccZHwjfO/aEnOTdaZL1fEYKnF5d8yNXdW/yNp1a5YkKu4xDa9y2St04pjbybwmYJf79v8NisUwB3CGiVp//vRVAHhH9zmKxlgDQJaJF34rTrl07ev/+/Tfbq2787wdjvecOqGurYbfvBhga6/9wjLKiMmzw2oWAByEYOL0Ppu4cA3kFeYn6tWf6Mdw++BBrri9C54HtJYr1NY/+eI4dEw/BuEV9bLi7rEp/84/ieysAB2afRFZSDuw9OmHchuGo38RI6u0yhVAgxCffKPje8MebG/7ITBRbIiqrKsG8rRmatzNHI0tjGJkZol5jQxga60t8DdQUQqEQeekFyErMQWZCNhJCkxAdGI+YoHiUF4utOQ0a6qHTgHboPLA9WttbQFGp6kbu1U1BViFOr76Ee0efQEtfC5O2joTjiO5S8fD9EnYpG6uHbkPQ44+YvnscBs10YTR+uF805tuvhLVDK6y6Mh+qGlWzBQTEk7Nz66/ij1UX0cKuKVZfW1glC8SC7CKsHPA7ogLiMHnbKAyZ00/q73NtgsViBRJRu7/93bcSMIvFugCgBwB9AFkAVgG4AeASABMAyQDciSj/Wx2prQkYAOI+JGKm3VL08u6G+cenVSmGUCjE0UVncXXnHYxa5YGRq9wl6hOPy8ecrr8hPTYT628vQauuLSWK9zVBT0OxZuhWqKirYOnZWWjj0IrR+H8Hp5yLS1tu4vK2WxDwBRgwrQ9GrHSDZh0NqbfNJESEtNhMRAfEItI/FlHv4xAbFA8eh1/5HDl5ORga66FeEyOYtzGFedvGMLcxw/kb9WBnJwcHh//Fe/YMCAgAFn1zGMssIpEIGfFZiA1ORGxwAmKD45Eem4ns5FwI+MLK5ykqK6KJdSM0bdsYTW0bo3l7c5hZmfx0N1JOORdXtt/GxS03wOcK0H+KE0av9YSGjvS9Z9PjMrFx+C7EBMZjwYnp6D3KntH4CWHJWN53I+QV5HAgcIvEn6ljS87i4pabcBzZHXMPT4aSilKV4qz12A6/24H47c+5jE8kfgYkSsBMUpsTMAAcWXgal7ffxvILcyQy9t40YjeeXXiDdbcWw66frUR9ykzMxuLea5GZmIOx673gsXAA5OTkJIr5JQlhyVgzdBvSYjIwfNkQjF7ryWj8fyI3PR9/rLyIhyefQaOOOkb85oa+kxyhoqYs9balhVAgRE5qHjITspERn4WM+CxkJeUgLSYD8R+TweeKk3OhnBVCaS4G2VyHXdty5AotsO9SR6xfFAcHB0DbQAvq2mpQUVeBirryPXzevwAAIABJREFUD/9/iEQicNk8cMq4KCssQ1FuCYpyi1GcV4rCrEJkJeUgKykHmYk5yErMrhw0yCvIo5FlQ5i0bAijRgYwMjNEXVNDGJmKv1dQVGD8PasuhEIhfM6/xsnlF5CTmoeuQ+wwfpM3GjatVy3tPzjhg/2zT0BeQR6LTs1gNBERkTj+rBNQ01LFxnvLYW5jJlHMoCcfsdhpHfqM64l5R6dUeaD19vZ7rBy4mZEJyc+KLAF/J3weHwscViMhNBn7/H+HSYsGVYrDKedibrcVSI/NxB6/jWjUsqFE/SorLsfOSYfw4tJbdBnUHr9dnMfozZBTzsX+mcfx4OQz2PVri6VnZ0FdW/ozAkC88nBo/h8I8QmDtr4mBs5wwcDpfaClp1kt7VcXAr4ASeGpiP+YhOSINPi+U8L5l31gpuSD2PIesMIO6LI+/e1rlVWVoKymDHkFOcgryENOXvyViCASiiofAr4Q3HIuuGzev/ZFS08TdU0NYGRqgLqNDGHcogGatjVDI0tjKCn/PMvI3wOXzcWjU89xZcdtpMdloVm7JpiyfTSsujG7mvRP8Hl8HJh9EncOP0abnq2w8OR0Rrd7+Dw+dkw8hCdnXsKmlxWWnJkJXaMfXyb+kqLcYkyyXgB1bTUceL+5yoPikoJSTGg1D9r6mtgf8PtPtUXBJLIE/ANkp+Rimu0iqGqqYu2NRTCzalTlONPbL4GikgJWXJ6PlnZNJeoXEeHarrs4NP8P2DpZY9Gp6RJ/0L6Of+fQI+yffRIGDXUx98gUtHVszVj8b7Ud9joSl7behN+dQKioK2PoXFcMmdMPWrq/ViL+kpUrgXXrgKVLBJgzrRDFuSUozClGUU4xyovLwSnjfn5wwCnnQigQQSgQQiQSQcgXAizxMre8nFxlUlZRV4aymjJU1FWgrKYEDR11aOtrQktfC9r6mtDW15RoX/Bngc/j497Rpzi/4SryMwvRooM5PBYORJfBHaplhQcQDy63TziImMB4eCwYgHEbhzNaE1BaWIZNI3bD/14wRq50h/eKoZCXlyx+dnIO1nnsQFxIIvb4bYR5m6rNpItyi7HOYwdCX0Vgr99GNLNtIlG/fmb+LQF/VxU0U4/aWAX9d0S8i640npdEFCMmOJ5GmE2lPkqedPfoE0b6dufwI+qr6kVuhuPI7857RmJ+SdibSBrdbCY5stxo+4SDVFpUxngb/0Z8aBKt9dheeX5027j91S5RWB18SwZRRtVIiUqjI4vOkLvR+Moz6CHPw6pVWIXL4dHJ3y6Qs6InudUdz4hm/Nckfkqm0c1mkrOiJyNyuERE/g+CaYj+WBqgNZJeX39X5TgxQfHkbTqVXFS86PGZF4z07WcGMjOGHycnLY+md1hM/TVHSHSIvTi/hJb0WUdO8u4U7BPKSN8SwpJpkvV8cmS50Z7pRxk3oOeUc+jIIrHTyQizqTVybCjuQyLtnHy4Uhhjht0SenDSh/G/tSb4ESMAGd+Gy+HRw1PPaE6338iR5UZOCh60YuDvFPAwpNoVzWJDEio/m7+P2iMVrfGXV/2ov+YIcjcaT6GvwhmJGfI8jJwUPGiS9XyJvMSzkrLJVcObvIwnU6R/DCN9+9mRJeAqkhabQS4qXjSx9bwqnxEmEuu8jm05m/qpDae7Rx4zclPgsrmVB/nn2q+QilZt2JtIGmUuNkTfNm5/jShClRaKbeoq/GHdjcbThd+vV/vMnEl+1ApPxt9TWlRGF7fcII/6E8mR5Uajm82kC79frxFv6vKScjq84A9yUvAgd6Px5HsrgPE2hEJhpVPSDLsljIlZPD3/ilzVvWlM85kSicwU55fQlLYLyVXdmzISshjp26+ALAFLQODjD9RfcwR5mUymxE9V1y7Ny8inRU5rKx1JmBLA8LnwmvooedIEq7kSDRL+ifJSNh1ZdIacFT1piP5Yunv0SY1o+IpEIgp6+rHyPRyoM4qOLT1HabEZ1d4XGTVLTloenVh+vlIYZaHjGnr/qPpnu0Ti6/LVNT/yMplcuW0jjVkvl82t3JrZO+MYI25jPC6P9s0UC/7M6fabRCt9pUVlNMNuCbkoD2NcUvNnR5aAJSQmKJ486k2gQXVGS7SMLBQK6cKma+Sk4EEjm0ynpIhURvr35SBBEl3rfyP+Y2LlEt+09osp3C9aKu18D1HvY2mN+7ZK2cOxLWfT0cVnpG65KKPmyM8soLPrr9DUdovIkeVGveXcaY37NooMqLn6gMRPyZUDwomt51Ho6wiptJOXkU/zeqwkR5YbXdp2i5GYOam5NKvLcnJkudHBuSclkogtyium2V2Xk7OiJ725yayRzK/AvyVgWRX0d5KRkIXl/TYhLTodq68vQqf+f1/U9j188o3CmqFbwWKxsNVndZWPO31JbHACfuu/CYXZxfBePhTDfxsicUXk1xARfM6/xpFFZ5CfUQCnMT0wfuNwRquxf4TMxGy8vfUefncDEeITBhDBztUWPTy7wK5fW6hrqdVIv2QwA4/Lx4dnYXh28Q2eX3gDPk8Ai87NYde3Lbq7d6q2M7xfU1pYhjNrLuPGvvtQ01TF6LWe6D/FSSqqZz7nX2HfzOPglPMw/9hU9PLuJnHMvIwCzOu+AgVZRZh/bCrsPTpXOVZsSAJWDtyMgsxCLD03G93dOkncv18N2TEkhigvYWN+j1XISsrB4ZBtMGioV+VYSeEpWNhrDaNJuDi/BAdmn8TTc6/QtndrLDs3G9r6WhLH/ZryEjYubLyGKztuQ0FJAYNmuMB9wYAaPbubk5qHW/sf4NHpF8jPKICikgJsna3RbUhHtO3dGvr1dWusbzK+n6LcYrx/+AG+twLw/kEIykvYUNVQQe9R9hg00wXGzSX/nFQVTjkXdw49wsXNN1CUW4K+Ex0xdv0wqXzGuGwu9k4/joennsGiUzMsODGNkb+9OL8ECxxWIyM+C1uerJLoeGRJQSmmtl0EkVCEVdcWonm7/+5Ro39DloAZJDU6HVNtF8HU0hirri2U6MZekYQBYPmFubDuYclIH+8de4p9M49Dx1AL845ORTsna0bifk1qTAZOr76I53/6QkVdGe7zB8BtQX+oqqtIpb3vQSQSIfxtNF5d8cOra37ISckDABia6KPLoA5wHuuAJtamNdY/Gf+f1Oh0PPrjOV5e8UNaTAYAQNdIB536t0Onge1h07NVlWUQmUAoEOLe0Sc4s/YyCrKKYNPLCpO2jJRYbeqfiAmKx7ZxBxD/MQnevw3FyFXujKxmZcRnYZ3nDiSGJmP93WVo28uqyrGK80uwwWsXPjz7hF2v16FFB8l0Dn5lZAmYYV5ff4fNI/dCWU0JC05MR0fXqstNJkWkYtWgLUiPzYTnooEYu8GLEaGAqPdx+H3EbqRGZ8BxZHdM3TFGajPUxE8pOL36Il5dfQe9+nXgPn8A+oxzqDY1rX+CiBAdGI9PryPx8eUnvLsbBAFfiMatG6Gdcxu0dbRCq64toKz688pf/ozweXxEBcThw/NP8L8fjHDfKMjJsdC2d2u0cbBCa3sLNG/fpNoEM/4JoUCI19f98ceqi0iJTINV95YYt96LcU32CjjlXJxZfQlXdt6BjoEW5h2bCru+bRmJfe/YUxycexLyCvJYcmaWRPesDy8+YfPIvSjIKsSsAxPhMr4XI338VZElYCmQHJmGjcN3IS4kEcMWD8L4Td5VjsUu4+DQ3FO4d+wpeo+yx/xjUxnZT+JxeDi/4Rr+3HwDWnoamHN4MjoPkJ4Y+iffKBxfeg6hryKgqqECp9E9MGimCxo2qy+1Nn+E4rwS+Jx/jZdX3iLCLxoCvhCKyoqw7NIczds1gUnLhjBp2QCNLBr+J9SiqgMel4+UyDQkR6QhOSIV4X7RCH8TBU45FwDQpI0penh2gePI7rVmm6A4rwT3jj7BrYMPkZOSB+Pm9TFh8wh06t9OauYToa8isG3cfqTHZcFlfC9M3DKCEYMSIsKxxWdxadst2PSywoIT06oshUlEOLPmMs6uu4L65kZYdn72f1rh6nuRJWApwePysX/mcdw79hT9Jjpiys4xVdZNJfqf9ZdVt5ZYcGIaY1Z9sSEJ2Dp2P+I/JMHeoxOm7Bgj1ZtddGAcbuy9j+d/voGAL4S9Z2cMWzyoVi39skvZCH0ViaAnHxHsE4rk8NRK9x8FRXlYO7SCbW9r2PZu/VO6/tQURIT0uEyE+IQh8PEHBNwPqUy2cnIsmLRsCOselrB2aAVre4tapfldkFWI63vu4frue+CUc9GmZysMntkXdq5tGS9orKCkoBQnlp3H3SNPULeRPuYfn8aYK1luej52TzkCvzuBGDDNGdP3jKvyqoKAL8CB2Sdx+9AjOI7sjln7J8gGqd+JLAFLEaFQiBPLLuDS1pswtTTGsgtzYNbKpMrxHp9+gf2zT0DIF2L8Jm8MmO7MyFIcn8fHxc03cX7jNSgqKWD0Gk8MmO4sVYebgqxCXNt1Fzf3PwC7lIP2fdrAY+FAWPewrHUJTcAXICM+CymR6Qh7HQG/u0FIiUwDANSpqw2bXlZo3t68cpZs0FCv1v0N1Q0RoSCrECmR6UiJSkf42yiEPAur3HfXq18Hnfq3g3UPS5i0bIiGzerV6F7uPxEVEIvre+/h5aW34PME6OHZGcOXDamyDvz3QER4cuYljiw8jeK8Egyc4YKx64cxktSICE/OvsSB2SfB4/AwfqM3Bs/uW+XrtaSgFOs8diD4aSg8FgzAhM0j/vPX/o8gS8DVwPtHH7Bl9F6UFZVjyvbRcJ3iVOWLNCc1DzsnH0bA/WB0GtAOi/+Ywdh+anpcJvbNPI6AByFoZNEQU3eOgW1v6RRpVVBSUIrbBx/h+p57KMwuQvP2TdBvUm84eHWt1faDOal5CHz8EUFPPiD4aRgKs4sqf6eqoYIGTetBr34d6BrVgW49HejVqwO9Browb2MKA2P9X+ImlZdRgNjgBOSk5KEgsxD5mQUoyCpETmo+UqPTUV7Mrnyulp4mrB0sYePQCm16tkLDZvVr7XvAZXPx/KIv7h55jAi/GKhqqMB5jAMGTHeWeqV1VEAsDsw5ifC30WjZsSlmHZhYZdODrykvYWP7hIN4efktLLs0x4IT0yU6rpUcmYaVAzcjKzEbcw5PhvMYh2+/SMZfkCXgaqIgqxBbxuzD+4cfJF7yISLc2Hsfh+b/AV0jHczcP4Gx/Vsiwttb73Fo/h/IiM9Cl8EdMHnbKNQzq8tI/H+Cy+bi8emXuLrzNlKjM6BjoIWh8/pjwDRnqGnW7uUsIkJhdlHlXmZyRBrS4jKRn1GA/IwCFGYX48vPko6BFpraNoappTFMWjZEvcZ1YWRmCP2GulJbzqwqIpEI+RkFYh/jhGykxWQgNjgBMUEJyM8o+MtzdQy0UMdIB7r16qCBuRGMmzdAw+b1Ydy8PgyM9Wq8cOpbsEvZuHP4Ca5sv4X8zEI0aFoPg2a4oPdoe6mfGy/ILsKJpefw4OQz1KmrjXEbhsNpTA/G3rN394Kwe+oR5KXlY+yG4XBf0F+ia83n/CvsnHQYympKWH1todSKz351ZAm4GhGJRDi66Cyu7LgNl/G9MOfwJIk+YJH+Mdg+4SASw1Jg79EJ03ePQ526Ooz0lcfh4cqOO7iw8RpEIhEGTOsDj0UDUcdQm5H4/wQRIfRVBC5suob3Dz9As446XKc4ocugDmhq27jW38T/DqFAiILsImQn5SAmKAExgfGICYpHanR6peE9IN5frmOkAx0DLegYakPHUBtaeppQ11KDqqYK1LTUoKapAmU1ZSgqK0JRWQFKKkpQVFKAnLwcWHIsyMnLQU5OPLMUiQgkIpBIBKFQBD5XAD6XDz6XDwFPAE4ZF+UlbLBLOCgvYaO8uByFucUozi1BUU4xCnOKkZeWDz5PUNnHir1a87ZmaNq2McxtzFDf3Ag6BlpS3bKQFkSEtJgMPL/oi+t77qE4rwQ2vazgtXQw2ji0kvosnV3Gwe0DD3F+4zVwyrgYMrsvvFe4MZbwC3OKcHDuKficfw2Tlg0w7+hUWHZuLlHMu0ceY/fUo2jVrQWWnZsN/QZV1zz4ryNLwNUMEeHUij9xfuM19BzeFXMOT5bobCyfx8elrbdwbt0VqGqqYtaBieju1pGxG0dOah5OLD8Pn3OvoKSihIEz+sBr6eBqOUYUFRCLcxuuwu92IIgIOobaaO/SBv2nOEvsoVwbEAqEyE7JRUZ8NjLjs5ARn4W8zAJx8ssWe/8W5RRXFipJG2VVJWjpa0LHQAta+lrQMdCCXn1dGJkawMjMEEZmhqjbyKBW7tX+KGmxGbi1/yH87rxHelwWAKCjqy28lg2BRcdmUm+fx+Xj9oGH+PP36yjMKUZ7FxtM2T6aEdEdQHyfeXn5LfbOOIayonIMXzYUnksGQUm56sb3IpEIl7fdxrElZ9Ghrw1WXp4vO6YnIbIEXEOc33gNJ3+7gHqN62Lhyemw6ibZEk5SRCo2j9qLmMB4dOhrg5n7JsDI1JCh3gIpUWk4t/4qfM6/hpaeBkascIfzOIdqEdaoUEDyvx+Ed3eDUFZUjqa2jeE0ugd6enWtVdWy0kAoFIJTykFZMRvlxWxw2bzKmSyPI57NioSizzNeEURCEcBiQU6OBZac3OevrM+zZkUoKStAUVkRymrKUNNUgaqmKlQ1VH7KGeyPwC5l4+2t9/C58Br+94KhoCgPWydrtO9jg/YubaS+zQKIk9ib6/44tuQs0uOy0NbRCqNWe0o8K/2SjPgs7J15HAH3g9HUtjEWnZoBU0tjiWKmxWZg+4SDCH0Zge7unbDkzEwoKlU9mcsQI0vANcjHl+HYPv4AMhNzMGv/BPSb1FuieEKBEDf23seplX+CRIQRK93hNs+V0RtrTFA8Ds3/Ax9fhENDRx19Jzpi4HRnGJoYMNbGv8EuZePhqed4ePIZYoMToKAoj04D2sHBqxusurWAjoF0l8hl/FyUFpbh48twPL/4Bm9vvgennAuDhnroPcoeA2f0qTat8orr9ua++0iNzoCppTEmbRuF9s5tGGuDz+PjyvY7OLvuMuQV5DFm3TAMnN5HYt0A35sB2DRiN+QV5DF15xg4je5RawvofjZkCbiGKSsux4ZhOxHwIAT9Jjpi4taREu//ZKfk4sDsE3hzIwCmrYwxc98EtO5uwVCPxctbn3yjcH3PPby+9g4A4ODVBSNWuFerCH7ch0Q8/uM5np57hcKcYgBAg6b10HukPVwm9KwxIwgZNUtJQSke//ECD089Q0JoMogIWnqa6O7WET2Hd4Nll+bVVktQXsLG1R13cHXXHZQVlaNFB3MMntUX9h6dGTVo+PD8E/bOOIak8FR0HWKHabvGSqRHD4jrQM6tv4oLm66jefsmWHllgcQxZfwVWQKuBQgFQhxfeg5XdtyBfgNdzD44EXb9qi4HV4HvrQAcmH0SWUk56OXdDRO3jIRePWaTUnZyDq7vuY9bBx6AzxWgm1tHeC0ZLDUt3L9DwBcg0j8WEW+jEfAwBMFPQyGvIA+bXq1g19cWdv3aol5j6S8vyqg5ctPzEfT4I94/CoHvjQBw2Ty0sGuKjv1sYdG5Gay6tazWJfb0uEzc2v8A90/4oLyYja5D7OC+YADj+8u5aXk4vPAMnv/5BkamBpi2e5xEbmwVhL2OwI5Jh5ESmQanMT0wa/8E2X6vFJAl4FpEuF80dk48hMRPKeg30RFTd42R+KLnlHPx56bruLT1JhSVFTFipTsGzugjUTHG31GQVYhru+/h1oEHKC9mo52zNdzm9Uebnq2q/WhNakwG7h99At9bAUiNFgv4G7doAFvH1mhs3QimrUxg2sq4Ro0hZFQdPo+PpE+pSPyUgtjgBAQ9+YiE0GQAgI6hNroMbA/XKU7VOggExPu7wU9DcWPffby7EwQ5eTl0d++IoXNc0by9OaNt8bh83Nx7H2fWXoaAL8SwxYPguXigxPcLPo+P40vP49quuzA00cfsQ5MYXSaX8VdkCbiWwefxcWrFRVzaehPGzetj9sFJjDghpcZk4MCckwi4H4x6jeti8rZR6DywPeN7OWVFZbh96DGu7bqDgqwimLRsgJEr3dHdvVONHCFKi82A/71gvLsXhLBXEeCyeQDEFb9dh9ih6xA7tHVsXevPGv/X4XH5+PQmEi8uvcXLy74oKSgDACgqKaBVt5aw7W2Nds7WMLMyqfbrTCQS4eXltzi77gqSwlOhY6CFfpN7w3WKE+OyrkQE35sBOLzgNDLis9DR1RZTd45hRJo23C8auyYfRkJoMvpPdcbEzd4ySUkpI0vAtZSgJx+xc/JhZCZkw3mMAyZtHclItW/g4w84NO8PJH5KgU0vK0zbNVbiCsm/g8fh4dXVd7iw6RqSwlNhammMkavc0WVwhxoTmxCJRMhMyEZCaDLePwzBi0viG7mCojxadW2B9n1s0NaxNYxb1Jctt9UwAr4AKVHpCH4SisAnH/DxeTg45Vwoqyqhy+AO6NS/HcysTNCgab0aq94WiUR4fe0dzqy9jMSwFJi0bACvpUPQ3b0T4ytMAJAQloyDc08h+GkoGlk0xJQdYxixEy0rKsPxpedx5/Bj6DfQxcz9ExhZxpbxbWQJuBbDKefi3LoruLz9NjTrqGP6nnGw9+gs8axVKBDi9qFHOL3qIsqK2ejl3Q1eSwdLRWZPKBTi5WU/nFl7GSmRadDW10SHvm3RdbCdVIXsvwcBX4BPvlEIuB8M//vBlcuYLBYLhib6YhWnZvVhZGaI+uZGsO5hKZspMwyXzcXHF+FIjc5ARnwW0mIzkBaTicyEbAgFYgOMhs3qoa1ja9g6WaONQ6sa/T8gInx8EY4Xl9/i3d1AZCfnwrh5fYxY6Q57j05SuZ7T4zJxYdN1PPrjOdS1VDFqjSf6T3GSuIiLiPDmhj/2zjiOwqxCDJrZF6PXesqu8WpEloB/AhJCk7B9wkFEBcTB1skaM/aOZ6TauDivBOc3XMXdI0/A4/LRb1JvjFrtLpWjPEKhEL433+PN9XfwvxeEkoIyNGxWD+4LBsLevWON+wMDYtGRT28ikRKVjtRosYlAWnQGykvEmsYKivJobW+Bds42aNHBHOY2prIluh+Ex+UjMSwZEX4x8L8fhBCfsEo1MBV1ZdQ3N0LDZvUrpSxb21ugbqPqOeL2bwj4AvjfC8aFTdcQ6R8LFTVltO3dGvYenaWWeIvzS3B+/VXc3P8AcvJy6DvBESNXuTOyEpYRn4X9s0/g3d0gNGljirlHpqB5O5l9YHUjS8A/CUKBELcPPsLJFRfA5/DhuXgQhi0ZxMhSaWFOEc6suYw7hx9DRV0ZHgsGou8kR6nJTlaYmZ/feBXxH5KgqKSADn1t4DCsK+xcbWuVCQMRobSwDPEfkvDubiDe3QtCcoTYCYnFYsG4RX00tW0M4+YNYGiij7qNDGBoog/9Brq/vLDFPyEUCJGXUYCclDxkJ+ciJyUXieEpiAtORFJ4auXMtn6TuujQty069G2LZraNoaWnWavOl/I4PAQ+/ojX19/h7a33KMkvhZGpATwXD0bvUd2ltk1RXsLG/WNPcW79FZQVlcN5bE+MXuvJyAkGHpePy1tv4fzGq5BXkMeo1R4YNNPlP3ut1jSyBPyTkZdRgCMLT8Pn/GsYGOth0paRjCxLA2I1rWOLz8LvTiAUlRTQza0jhi8fikYtGzLQ8/8PESHSPxbPLrzGi0u+yM8shIq6MlrbW8DevTN6DOsilb00ScnPLEBMYDyiA+MRHRiHmMB45KUX/L/nqWurQUtPE5q6GtDS04CGjjq09DRh2soETT5XY/9sy32cci6SPqUg7kMSEsOSUZRbjJKCMpTkl1Y+SgtKIRL99d5Rp642zG3M0KSNGZp+1pE2MjOsVQkXEM90X17xw/OLbxDiEwZ2KQfq2mroNKCdeNukX1upJavctDxc2HQdj0+/ALuUg7a9W2Py1lFo3Fpy68Ovi7fsPTphyvbRMh3nGkaWgH9SPrz4hINzTyEuJBHWPSwxfc84ibyGvyQpIhV3Dj3Cw5PPwC3nos+4nhgy11VqiRgQL1GHvozAi0u+CHryEelxWdA10sGA6X3gOrk3tPW1pNY2E3DZXGQn5yI7ORdZSbnITc1DSX4pivNLUJxXguK8UpQVlaMgq/AvNn06htqVOstGpobQb6BbacagbaAFbX1NqGmpQklFSWrJiojA5wlQXlyOos9GDBVfc1PzkJmUjazEHGQmZCMvvaDS2UlFXRm6RjrQqKMBTd3PjzriwYZBQz0YGOvDwFgPhsZ6tWKL4d8oKSjFvaNPcXPffeSk5qFuIwO0c26DrkPsYN3DQqqyi8X5Jbi87Tau774LoUAIB6+ucJ3ihJZ2TRn5P0+OTMOBOScR+OgDTC2NMWXHaKnbjMr4PmQJ+CdGKBTi3tGnOPnbBZQVlcN1cm94LRvC2NGHwpwinFt/FXcOPYKAL4S5jRl6Du8GB68ujB+v+BIiQuDjj7i68zbeP/wAOTkWmtiYoXW3lmjVrSWsurWs9Qn5nyAiZCfnIu5DIpIj0pAem4nMxGxkJmQjOzm3cnn2a+Tk5aCmqQpVTRUoqyqJXZA+azorfHZDkqt0QxIfwxGJRCARQSQiiISiSv1oPlcAPk8AThkHnFIOyks4/9yuHAsGxvqoa2qAuqYGqGdaF6ZW4hm8kZnhT+lOBYjrHyL8ovHJNwrhb6MR4RcNHoePNj1bwW2uK9q72Ej1b+OyufC7E4RnF17B/14w+DwBenl3w+i1noxpUhfnleDCpuu4vuceVNSVMXqNJwZMc2ZUgUuGZMgS8C9AcV4JTq34E3ePPoGCojwGzeyL4cuHMGZplp9ZgOd/+uLp+VeIfh8HFosFu35tMWKFG+MCA1+TEJaMF5d8EfY6svImCYglJ3t5d4PL+J6/zDKaUCBEcV4JCj+7IBVmF6EotwTsEvb/bANL2eB9NmOCAwAlAAAbTElEQVTgcQXgc3jgfzZj+DLZslj4ixEDS04OSsoKUFBSqDRlUFZTgpqGaqUZg5qWKrT1xbPuitm3jqH2L7M/mJ9ZgAcnnuHJ2ZdIiRTv48vJy6FJG1NYdm4O57EOMG8jXfGOvIwCXNt5B3eOPEZ5MRu6Rjro4dkFzmMdGFlqBsTJ/cr2O7i45QY4ZVw4j+mBcZu8pW4lKuPHkSXgX4iM+CycWXcZj/94gTp1tTF2vRecRvdgdMSbGp2OJ2de4tbBhyjJL0WHvjYYudIdLTpI3x6Qx+Uj+n0cwl5FIPhZGIIef4ScvBw6DWgH5zEOsOzSHFq6v7Yzkowfg8vmIux1JO4efQLfGwEQCoRo42CJto7WsOjcDM3aNakWRbSk8BRc2X4bT8+9goAvhL1nZ7iM6wlrB0vGKqiJCM8v+uLo4jPISclDt6F2GLXaUyrn/GUwgywB/4JEvY/Dwbkn8elNFOo2MsDAGS7oO6Eno/tw5SVs3Nz3AJe330JJfinau9igz1gH2DpZMzbz/hbpcZm4e+QJHp70QVFuCQDxzLiFnTlatG8K01bGaGTREHXq6lRLf2TULMV5JUgKT0X8x6TPRXJxSApPhUgogpaeJpxG90C/SY5o2Kx+tfSHXcZB8JNQ3D36GP73gqGsqgTnsQ4YMqcfGpgzZ1rC4/Lx/M83uLb7LuJCEtGkjSmm7hwDa3vJFfRkSBdZAv5Fqah6vLrrDkJfRkCzjjq8f3PDgOnOjBaUlJewcWv/A1zZcRtFuSVQ1VDBwOl9MHSea7VZA1bIFEa+i0Wkfwwi38UgP7Ow8vdW3VvCcYQ9urt1hIZO7S4GkvFjsMs4eHPdH4/PvEDI09DK6msdAy00tW2MZrZN0Kx9E7RzsoaSilK19KmkoBTXd9/D9T33UFpYBh1DbQya4YL+U50Y9a4WiUR4ftEXJ5adR1ZSDhpZNITb/AHoPap7jQrcyPh+ZAn4P0B0YBxOLL+AwEcfYNBQD05jesB5rAOjBuRCgRDhb6Nx6+BDvLjoC2VVJfQe3QN2fW1g1d2iWo/bEBFyUvOQGpWOiHcxeHr2JVKi0iEnL4embc3Qqqu4kKtV1xY/bTHXf5Xi/BJE+MUg3DcK4X7RiPSLAaecCyNTA/Ty7g7LLs3RyKIhDIz1q/WIE5/HR/T7eLy9FYDbBx+hvISNzgPbY+AMF1h1a8HooJddysbLK364uf8BYgLj0aSNKcZvHI52zm1q3bEuGf+OLAH/hwh4GILru+/i/cMPICK06dkKfSc4ort7R0ZHzMmRabiw6RpeXn4LHocPeQV5WHRqBpteVug2tGO170kREaLfx8H3ZgBCX0cg8l0s+FxxMVedutpi8YxGBqhrog9DEwOYtjJGq64tfpnio58NoUCICL9oxIYkisU8UsRiHhXCHsDn4inrRrDs3ALd3TtVq8dvBanR6Xhx+S0+vgxH+JsocMq5YLFY6ObWEd7LhzJWVFVBTFA8bh14iBeXfMEu5aBB03oYvmwIHEd2/2mr0f/rSC0Bs1isRAAlAIQABP/USAWyBFx9ZKfk4tGp53h46hkyE7LFWrYr3GDv2ZnRRMzj8BD2JgrBTz4i6GkoYgLjQUTo0NcGHgsHonV3ixoZsVcUc316E4W0mAxkJecgOykHWUm5lYlZXVsN7fu0QUfXdmjVtQUMTap3RvVfozCnCCE+YfC7Ewj/+8EoyS8FIHY7MjD+35li4+YNYNm5OZq1r57iqa8hIoS+isCVHbfx9pb4fmVmZYLW3S1g3cMSVt1bMr718sk3Cpe33cSbGwFQUVeGvXtn9BnnAMsuLWTX5E+OtBNwOyLK/Z7nyxJw9SMSifDmuj9Or7lU6eYyYoU74zPiCgpzinDn0GPc3HcfhTnFaN6+CQZM6wOLTs1Q39yoxkfxRITC7CKEv42G3+33eHcvCAVZRQAADR11NLZuhMatG8HU0hgGxmK5Sf0GutDU1ZDdCL8BEaGsqBx56fnISy9AdnIuEsOSkRCWjITQ5Mr3ucKso6OrLVp1bQEdQ+0avy4A8fGhEJ8wXNt9F9Hv46Clp4n+U53Qf6ozIxKRX1OhnX5l+y2Ev42GZh11DJzhArd5rrVe1ETG9yNLwDIgEonw6uo7nF17GYmfUlCvcV04juiOwbP7QrOOBuPtcdlcPPrjBa7suI302EwAgJqWKsxtzNDWsTVcxveErhHzN7UfRSQSiatp38ch7kMS4j8mIuFjMjjl3L88T0lFEdr6WlDXUYOGjjo0dNShrq2GBub10KxdYzS1bVwr/h5pUphTVCnPmRKVhrLCcpQViR+lhWUoyimu9GKuQElFEY0sjWFmZQJTSxNYdGqGFnbmtaKAiMvmwuf8a7y54Y+YwPjKor4GTeth6FxX9B5lLxXN8tLCMlzfcw+PT79ARnwWjMwMMXSuK5zHOtTIjF+GdJFmAk4AUACAABwmoiP/9nxZAq55KozF75/wQdDjj1DXVoP7/AEYPLuvVIqohEIhEkKTERMYj5jAeES9j0P0+zjIycvBrl9b9BnbEx362tSqvVihUIjc1HzkpokfeWn5yE3LQ3FeKUqLysRJp1CsjZyVlFsp26hjqI3G1o1Qz6wu6jWu+1l60gA6htrQMdSq9f7DPC4fxbnFyM8sRFZSLjITspGVmI3MRLG/csXeLAAYGOtBS08T6tpqlYMRLT1N6DfQhV59XejVrwP9Brqoa2pQK5JtBSKRCB9fhOPp2Zd4edUP5cVs1Dc3gkWnZmhq0xjN2jWGRWfp7DWzS9m4vuc+Lm+7hdLCMtj0skK/Sb3RdUjN+WfLkD7STMD1iSidxWIZAngMYCYRvfzqOZMATAIAExMT26SkpCq3J4NZ4j4k4vTqS/C9GQAtPU10G9oRtk7WsOnZSqpHeVKj0/HghA8en36B/MxC6BrpoNvQjmjcuhFMWjaAcYsGP03lcnkJG3EhiYgJjEfcx0QkfUpBRnw2ivNK/t9zVdSVoWOoDc066lDTUoOqpgrUtdSgqvFZevKz/KSyqhIUlBSgoCgPeQV5yH/+KvdZ7apCAQtEICIQASQSgUhsNCAUiCD8/JXP5YPH4YPH4YHH4YNbzkV56WfFrRI22CVslOSXojCn+C/61RWoaanCyMwQJi0bollb8Uzf3MbspznqxS7jIC06A8kRqYgOjMeLS77ITcuHqoYKug61g/NoB7S2l16dAo/LR7hvFN4/DMGDE+Kz7B3722L0ak+Y20hXkUtG7aBaqqBZLNZqAKVEtO2fniObAddOogJicXHLDQQ++ojyEjbk5OVg62SN4UsHS7UIRMAXwP9+MB6c8EHgow+VEpSAeJ/QztUWLuN6/pSFKGXF5eIZZFIOCrP/JztZmFOEsqJylBezUVZcDnYJB+wSNrhsHrhsHkRCkVT6IyfHqkzwapoqUNVUhZqWKtQ0VaFRRx3a+lrQMRCbQ+gYasHI1BB1TQ2ksj0hbZIiUvHkzEu8uOSLjPisyp/LK8ijfZ826OXdDR37t5OqJWZGQhb+3HQdPudfg1POhbyCPNr2bo2RK93R0k76inIyag9SScAsFksdgBwRlXz+/jGAtUT04J9eI0vAtRsBX/DZRD0Y9489QVFuCcysTNB3oiMcR3SX6qxHJBIhOzkXyRFpSI5IRdyHRLy57g92KQfGzevDeWxP9PLu+stoQv8TQoEQXDYPAp6gcjZb8RUk1oEmkQgiEYHFYlXOhlkssXexvKI8FBQVIK8gB3kFeSgqK0JJRbFWLfFLgwot8ydnXyAmKAFycizYOlnDsnMLGLeoD+MWDdDA3EiqQh2cci58b/jjydmXCHz0AfIK8nAcaY+O/W1h3cOy2tTjZNQupJWAGwO4/vmfCgDOE9GGf3uNLAH/PLBL2fA5/xp3jz5BTGA8lFWVYO/ZGXZ926JV1xbVUnDELmXjxWU/PDjxFJ/eRAEQqx+ZtjKGqaUJTFsZo17jujAw1kPDZvV/ulmyjB+DiCpXFdJiMsSDtchUJIWnIiclDwDQ1LYxHL27o8ewztVyjRbnlSDsdSTe3PTHqyt+YJdyYGiij17e3TBgmvMvP2CU8W1kQhwyJCI6MA73jjyBz4XXYJdyICcvhx6enTFs8SCYWTErRPBPJEem4f2DECR+SkHip2QkhqWAXcqp/H3dRgZwGNYF3d07obF1I1lRyy8CESE1Oh3P//TFsz9fIyUqvfJ3yqpKMG7RACYtG6CRhTG6DGqPRhbVIwCTGp2OS1tv4cmZF+DzBFDTVEV3t45wHGkPq+4ta8WxKhm1A1kClsEIfB4fcSGJeHHpLe4cfgROGRc2vazQvo8N2jpawczKpNpuPCKRCDkpechMzEZadAZeX3+HwMcfIRKKoK6tBssuzWHVVewtbGpp/NMUDf3X4ZRzEf8hEeFvoxH+Vuzjm5deABaLhdb2Fug2tCNMWjaAkZkh6jYyqLbrjYiQEZ+Fjy/C4Xc3EL43AqCgpIA+Yx3Q07sbmtk2/uHl7S1bgPbtAQeH//3s2TMgIABYtIjhP0BGjSFLwDIYpzi/BLf2P4TPhdeVvqs6Blpo08sKLdqbo/PA9qjXmDkd6u+hMKcIAQ9CEPYqAqGvIyv7BYireQ1N9FG3kQH0G+hBx0ALWnqaqG9uBOseFlDVqD4d6/8yPC4fYa8jkRyeWumLnJMqlqDMScn7S/W4kZkhLDo1g2XnFug8sF21L+dmJ+fg9XV/RLyLQejLcOSlFwAQFwi6THDEkNl9JXLhevYM8PAALl0SJ+Gv/y3j10CWgGVIlZzUPAQ/DUXQ048I8QmrnLF0HtgOQ+a4wqpbyxrZny3MEStepcVkimUok3OQlZSD3NR8lBaUVrrqKCopoHkHc1h0ag7Lzs1h0blZtbk8/eoU55cgyj8Wke9iEfEuGqGvIsAp+5/IiWYddeg31IOhiT4MGorlKI1bNIBFp2ZSUZ/6FkSECL9oXN11F6+vvYNIKIJe/Tqw6m6B1t0t0Lp7Sxi3aMDYzLsi6U6dChw8KEu+vyKyBCyjWslOzsGdw49x5/BjlOSXopFFQ1h1awmLzs3FkpRNjGq8YEokEqG0sAxxIYkIuB+MsDeRiAmMh4AvBCCefdVvUhdGpoYwMhOLaujW04G2vha09TWhqavxy1cWfwuhQIiSglIU55WiOK8EeekFn4U7cpCVlI3U6IxKFTQWi4VGlg1h1c0CHVxs0LyDObR0NSCvULN79USErKQcRAXEITogFsHPwhATGA8NHXX0ndALrlOdGHUU+ztWrgTWrQNWrADWrpVqUzJqAFkCllEjcMq5eHLmJV5dfYvId7EoLxELPegYaKGRpTHMbczgMr5ntRXOfAseh4fowHiE+0YhJjgBmQnZyIzPQmFO8d8+X01TFaqaKlDTVIWKhopYUENNGUoqilBRU4aRmSGMmzdAfXMjGJkZQsdAq8YHHv8EEaG0sAxZiTnIiM9CUngq0mIzwCnjgsfhgVPGBaeMC3YpB5wyDtglHJQWlv1tLM066qhraggjM0M0s22CFnbmaNauSa05hpMel4n7x30Q6R+DhI9JKMoVL3srKMqjSRtT9B7VA06j7atlW0I2A/71kSVgGTWOUChEcngqwt9GI8IvBilRaYgJjAefJ0Brewv0Gdvz/9q7s9i4rjqO49+/PTMeb+PEa7w1aeLETdqEtDUhpRvQ0paKpYhF9AkkRHkACd5AvNAXJIQAISGEVAQIJBYh0UJRC12gEi0qzdaQpE2d2KmbON6TeMaOx57t8HCvJ4mz1FM7vmP795FG154Za46Ojvybc+49/8v7Pnwzje31QTf1MsnJJEN9o5wbjpMYSxAfmyBxxnt4wTRNctKrLJVKehWnkpPTjLwzml/mBq8S1roNjdS2rGVNQ8ybTfvHfHEMP9TL/KIZ4bIQ4bIwoUiIktISSkrMP3pLoLlcDpfz9gfnsjkyqQypmTTpmTSZVCYfmsmJpNfGRJL42ATxsYT/mGCs/wzD74xeVgmr8YZ6KmLlhMvCRCvLiFZ6XzLK/WN1bRWxumpidVVU11VT17yWpg0NRRO0F5scP8/r/zzMM794kf3P/4+S0hK23L6R9dva6Xz/JrZ0beLGHeuJlC3ePX3fjc4Brw4KYClK50biPPfrl3jmiRcYensEgHUbGrjl7q1sv8s719bQXkd9a+2yXO5NTac43TPE4Ilhv67yKEN9I5wdGic+6lXHml0VWGrRyjJq6mPE6r36zU03NNC0ocGbuW5ooK2zZVneGCCXy3FuOM7oqTHePnwyfzX1yaPeBXkNbXU8/JX7eejLH6G+pTbQtuoq6NVBASxFLZfL0Xuwj8MvH+XIK0c5/PJbjI/E86+bGQ3tddz5yC7u+ezu61YsPwip6RSJMxNM+SUpvfrM08wkU6T9mWx6JkM6lSGXzeWrYOWyOa8SVonla0SXlBihiDdjDpeFCEdClFWU+TNrb9ZaEasgVldV9DeGmC/nHCeP9vPKk3t46Y+v0H9skGwmm3+9uraKbXdsYevuLdz8wU6237018PPOsroogGVZcc4x0DvEQO8wY/3e9pQTh/rY8/eDpGfS1K5bw52P7OKuz+xm6+7Ny3KmJu9dJp3hjf908+rTe3n1b/sY6PXqPe+4dxvb7uj0r6auo21LsyqkSeAUwLIiTE0kee2ZA7z85H/Z++zr+Xv2NrTV0dbZQtuWFlo2NbGmsYaa+mpi9TGab2wkVlcdcMulEMnJJKePDxEfS5A4M8m54XEGeoYY6B3i9PFBhvpGyWVzhCMhdt63nTs+0cXuj99OQ5vKPkrxUQDLijM9NcOBFw/x9qGTnDp2mtPHBjnVPcD5+NQl7yspMW76wGa6HtzJ+x/ayebbN6pMZZFxztF35CQHXjzM/he9veTpmfQl76moLqd18zpaOtbR2tFMx20b6XpghwqoSNFTAMuqMLuVJnFmwrvSdzTB8f0n2PuP1+ne24tzjlhdNe/78M3ccFMr7Z2t/jJlM5U1KlW5FM4nprzZbM8Q/ccHeefNUxz81xHODXvn/Ns7W+h6cCfb797KmsYaYvXV+aplWkqW5UgBLKtefCzB/hcOse+5gxx55S2G+0Yu2yK0psHfFuT/wy+vKve23fiPtU01bOnaREvHuhVzEdhCzd6hqHtvD2eHxr19wpPTTJ+fYWoy6X0ZGvW3bo1NXLZ3uL61lh33buPW+3Zw2/3bi3IbmshCKIBF5kjNpBk8MUx/9wD9xwY5O3juwt7YUe/cY3LS2987dzm0ak0lnbs62LRjPe1b22jZ1ETLpiZqm9eu2GB2zjE+Es9vqTrVPUD3vl669/RcUr8ZvIIW5VVRolVRYnXV+fPxNXXelqfWzc20dHjLybqATla6awXw8ttcKbIIImVh1m9tY/3Wtnd9byadITk5zVj/Gd7a00P3nh6O7jnOUz9985JwjkTD1LfWsqaxxns0xIjVx6isqaAyVk5FrIKKWDnRyrJ8oY1IeYSy8gihSIhQuDR/LA2VXlJwo1C5XI5cNkc2kyWTzpJNZ8mkM2RSGWb8YiEzyRSppFflaioxxdTENFOJKc7Hp4iPJhj3v4zERxOMnjqTv+gNLpSW/OAnu+jctZmbdnXQtKGBaGUZ4cjSFbMQWc40AxZ5jzLpDMPvjDLQO8xg7zADvUOcGx5nfCTO+EjCO44myGVzC/qcktISSktLwAwzL/xmz4c65/wH4BzZbG7hn1dixOpjlyzJ17fU0ryxieaNXonJpg2NRCtWxl5iketJM2CR6yAUDtHa0UxrR/NV3+OcYyaZIjmR5Hwiyfn4FDNTM/nZ5+wxk86SSWXys9Rsxp/BZrPk/FCdDdnZwJ29Jsm8VMbMC2svsL0ZdGmoxJ9VhygNlxKOhIhEw/mZdyQaIVoVpaLaK9JRUR0lWhnVBU8iS0ABLHIdmRnRijKiFWULunesiKw8K/OKERERkSKnABYREQmAAlhERCQACmAREZEAKIBFREQCoAAWEREJgAJYREQkAApgERGRACiARUREAqAAFhERCYACWEREJAAKYBERkQAogEVERAKgABYREQmAAlhERCQACmAREZEAKIBFREQCoAAWEREJgAJYREQkAAsKYDN7yMy6zazHzL69WI0SERFZ6d5zAJtZKfAz4GPANuBRM9u2WA0TERFZyRYyA94F9DjnTjjnUsAfgU8tTrNERERWtoUEcCtw6qLf+/3nRERE5F2EFvC3doXn3GVvMnsMeMz/dcbMjizgM1eTemAs6EYsE+qr+VNfFUb9NX/qqytbf7UXFhLA/UD7Rb+3AQNz3+ScewJ4AsDM9jnnuhbwmauG+mr+1Ffzp74qjPpr/tRXhVvIEvReYLOZ3WhmEeALwNOL0ywREZGV7T3PgJ1zGTP7OvAcUAr8yjn3xqK1TEREZAVbyBI0zrlngWcL+JMnFvJ5q4z6av7UV/OnviqM+mv+1FcFMucuu25KRERErjOVohQREQnAkgSwSlYWxsz6zOywmR00s31Bt6eYmNmvzGzk4u1sZlZrZi+Y2XH/uDbINhaLq/TV42Z22h9bB83s4SDbWCzMrN3MXjKzo2b2hpl9w39eY2uOa/SVxlaBrvsStF+y8hjwUbytS3uBR51zb17XD17GzKwP6HLOaU/dHGZ2DzAJ/NY5d4v/3A+As8657/tf8NY6574VZDuLwVX66nFg0jn3wyDbVmzMrBlods4dMLNqYD/wCPAlNLYucY2++jwaWwVZihmwSlbKonHO/Rs4O+fpTwG/8X/+Dd4/g1XvKn0lV+CcG3TOHfB/ngCO4lX209ia4xp9JQVaigBWycrCOeB5M9vvVxKTa2tyzg2C988BaAy4PcXu62Z2yF+iXvVLqnOZ2QbgVuA1NLauaU5fgcZWQZYigOdVslIucadz7ja8O019zV9KFFkMPwc2ATuBQeBHwTanuJhZFfBn4JvOuUTQ7SlmV+grja0CLUUAz6tkpVzgnBvwjyPAU3jL+HJ1w/55qdnzUyMBt6doOeeGnXNZ51wO+AUaW3lmFsYLlN855570n9bYuoIr9ZXGVuGWIoBVsrIAZlbpX9iAmVUCDwC6gcW1PQ180f/5i8BfA2xLUZsNE9+n0dgCwMwM+CVw1Dn344te0tia42p9pbFVuCUpxOFfjv4TLpSs/N51/9Blysw24s16watU9nv11wVm9gfgQ3h3XhkGvgv8BfgTcANwEvicc27VX3x0lb76EN4SoQP6gK/OnuNczczsLuBl4DCQ85/+Dt65TY2ti1yjrx5FY6sgqoQlIiISAFXCEhERCYACWEREJAAKYBERkQAogEVERAKgABYREQmAAlhERCQACmAREZEAKIBFREQC8H9YQ59lFSFx+gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 576x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# First contours without using multivariate gaussian:\n",
    "plot_data()\n",
    "useMV = False\n",
    "plotContours(*getGaussianParams(X, useMV))\n",
    "\n",
    "# Then contours with multivariate gaussian:\n",
    "plot_data()\n",
    "useMV = True\n",
    "# *表示解元组\n",
    "plotContours(*getGaussianParams(X, useMV))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Selecting the threshold, ε\n",
    "确定哪些例子是异常的一种方法是通过一组交叉验证集，选择一个好的阈值 ε 。\n",
    "\n",
    "在这部分的练习中,您将实现一个算法使用交叉验证集的F1分数来选择合理的阈值 ε 。\n",
    "![](https://imgconvert.csdnimg.cn/aHR0cHM6Ly91cGxvYWQtaW1hZ2VzLmppYW5zaHUuaW8vdXBsb2FkX2ltYWdlcy8xMTAyMzI2Mi03MWI2YmI2N2M0OWFjM2M5LnBuZw)\n",
    "tp means true positives：是异常值，并且我们的模型预测成异常值了，即真的异常值。\n",
    "\n",
    "fp means false positives：是正常值，但模型把它预测成异常值，即假的异常值。\n",
    "\n",
    "fn means false negatives：是异常值，但是模型把它预测成正常值，即假的正常值。\n",
    "\n",
    "precision 表示你预测为positive的样本中有多少是真的positive的样本。\n",
    "\n",
    "recall 表示实际有多少positive的样本，而你成功预测出多少positive的样本。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [],
   "source": [
    "def selectThreshold(yval, pval):\n",
    "    def computeF1(yval, pval):\n",
    "        m = len(yval)\n",
    "        tp = float(len([i for i in range(m) if pval[i] and yval[i]]))\n",
    "        fp = float(len([i for i in range(m) if pval[i] and not yval[i]]))\n",
    "        fn = float(len([i for i in range(m) if not pval[i] and yval[i]]))\n",
    "        prec = tp/(tp+fp) if (tp+fp) else 0\n",
    "        rec = tp/(tp+fn) if (tp+fn) else 0\n",
    "        F1 = 2*prec*rec/(prec+rec) if (prec+rec) else 0\n",
    "        return F1\n",
    "   \n",
    "    epsilons = np.linspace(min(pval), max(pval), 1000)\n",
    "    bestF1, bestEpsilon = 0, 0\n",
    "    for e in epsilons:\n",
    "        pval_ = pval < e\n",
    "        thisF1 = computeF1(yval, pval_)\n",
    "        if thisF1 > bestF1:\n",
    "            bestF1 = thisF1\n",
    "            bestEpsilon = e\n",
    "\n",
    "    return bestF1, bestEpsilon\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [],
   "source": [
    "mu, sigma2 = getGaussianParams(X, useMultivariate=False)\n",
    "pval = gaussian(Xval, mu, sigma2)\n",
    "bestF1, bestEpsilon = selectThreshold(yval, pval)  \n",
    "# (0.8750000000000001, 8.999852631901397e-05)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[13.07931049,  9.34787812],\n",
       "       [21.72713402,  4.12623222],\n",
       "       [19.58257277, 10.411619  ],\n",
       "       [23.33986753, 16.29887355],\n",
       "       [18.26118844, 17.978309  ],\n",
       "       [ 4.75261282, 24.35040725]])"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y = gaussian(X, mu, sigma2)  # X的概率\n",
    "xx = np.array([X[i] for i in range(len(y)) if y[i] < bestEpsilon])\n",
    "xx  # 离群点\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x217ca4dc648>"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_data()\n",
    "plotContours(mu, sigma2)\n",
    "plt.scatter(xx[:,0], xx[:,1], s=80, facecolors='none', edgecolors='r')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
